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110320000020 = 223252393728439
BaseRepresentation
bin110011010111110010…
…1011001110000010100
3101112202101112122212200
41212233211121300110
53301413410000040
6122402540244500
710653555346056
oct1465745316024
9345671478780
10110320000020
114287184493a
1219469b40730
13a5318ab129
1454a78c18d6
152d0a257630
hex19af959c14

110320000020 has 144 divisors (see below), whose sum is σ = 349571738880. Its totient is φ = 28108574208.

The previous prime is 110320000019. The next prime is 110320000027. The reversal of 110320000020 is 20000023011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110319999957 and 110320000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110320000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3864961 + ... + 3893399.

It is an arithmetic number, because the mean of its divisors is an integer number (2427581520).

Almost surely, 2110320000020 is an apocalyptic number.

110320000020 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 110320000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174785869440).

110320000020 is an abundant number, since it is smaller than the sum of its proper divisors (239251738860).

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

110320000020 is a wasteful number, since it uses less digits than its factorization.

110320000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29414 (or 29409 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 110320000020 its reverse (20000023011), we get a palindrome (130320023031).

The spelling of 110320000020 in words is "one hundred ten billion, three hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 937 1035 1380 1874 2070 2811 3748 4140 4685 5622 8433 9370 11244 14055 16866 18740 21551 28110 28439 33732 42165 43102 56220 56878 64653 84330 85317 86204 107755 113756 129306 142195 168660 170634 193959 215510 255951 258612 284390 323265 341268 387918 426585 431020 511902 568780 646530 654097 775836 853170 969795 1023804 1279755 1293060 1308194 1706340 1939590 1962291 2559510 2616388 3270485 3879180 3924582 5119020 5886873 6540970 7849164 9811455 11773746 13081940 19622910 23547492 26647343 29434365 39245820 53294686 58868730 79942029 106589372 117737460 133236715 159884058 239826087 266473430 319768116 399710145 479652174 532946860 612888889 799420290 959304348 1199130435 1225777778 1598840580 1838666667 2398260870 2451555556 3064444445 3677333334 4796521740 5516000001 6128888890 7354666668 9193333335 11032000002 12257777780 18386666670 22064000004 27580000005 36773333340 55160000010 110320000020