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111002303230020 = 223253785971938701
BaseRepresentation
bin11001001111010010111100…
…110110100111000001000100
3112120000201100100220102012200
4121033102330312213001010
5104022130204111330040
61032025430520314500
732244436360432116
oct3117227466470104
9476021310812180
10111002303230020
11324068a3392974
1210548ba6912a30
1349c261a7a33a7
141d5a77c2173b6
15cc7658287630
hex64f4bcda7044

111002303230020 has 144 divisors (see below), whose sum is σ = 345847577847408. Its totient is φ = 28797232665600.

The previous prime is 111002303230019. The next prime is 111002303230073. The reversal of 111002303230020 is 20032303200111.

111002303230020 is a `hidden beast` number, since 1 + 1 + 100 + 230 + 32 + 300 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1511527631364 + 109490775598656 = 1229442^2 + 10463784^2 .

It is a super-2 number, since 2×1110023032300202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111002303229975 and 111002303230002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56286670 + ... + 58225370.

It is an arithmetic number, because the mean of its divisors is an integer number (2401719290607).

Almost surely, 2111002303230020 is an apocalyptic number.

111002303230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111002303230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172923788923704).

111002303230020 is an abundant number, since it is smaller than the sum of its proper divisors (234845274617388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111002303230020 is a wasteful number, since it uses less digits than its factorization.

111002303230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947350 (or 1947345 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 111002303230020 its reverse (20032303200111), we get a palindrome (131034606430131).

The spelling of 111002303230020 in words is "one hundred eleven trillion, two billion, three hundred three million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 8597 17194 25791 34388 42985 51582 77373 85970 103164 128955 154746 171940 257910 309492 318089 386865 515820 636178 773730 954267 1272356 1547460 1590445 1908534 1938701 2862801 3180890 3817068 3877402 4771335 5725602 5816103 6361780 7754804 9542670 9693505 11451204 11632206 14314005 17448309 19085340 19387010 23264412 28628010 29080515 34896618 38774020 57256020 58161030 69793236 71731937 87241545 116322060 143463874 174483090 215195811 286927748 348966180 358659685 430391622 645587433 717319370 860783244 1075979055 1291174866 1434638740 2151958110 2582349732 3227937165 4303916220 6455874330 12911748660 16667012497 33334024994 50001037491 66668049988 83335062485 100002074982 150003112473 166670124970 200004149964 250005187455 300006224946 333340249940 500010374910 600012449892 616679462389 750015562365 1000020749820 1233358924778 1500031124730 1850038387167 2466717849556 3000062249460 3083397311945 3700076774334 5550115161501 6166794623890 7400153548668 9250191935835 11100230323002 12333589247780 18500383871670 22200460646004 27750575807505 37000767743340 55501151615010 111002303230020