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1012102222120 = 2351123891123709
BaseRepresentation
bin11101011101001011111…
…11100101000100101000
310120202102010220000012221
432232211333211010220
5113040241132101440
62052541531043424
7133056556641313
oct16564577450450
93522363800187
101012102222120
11360259356560
1214419aba0574
1374596671412
1436db387397a
151b4d8e79d4a
hexeba5fe5128

1012102222120 has 128 divisors (see below), whose sum is σ = 2621390688000. Its totient is φ = 348079790080.

The previous prime is 1012102222111. The next prime is 1012102222121. The reversal of 1012102222120 is 212222012101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1012102222094 and 1012102222103.

It is not an unprimeable number, because it can be changed into a prime (1012102222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338826 + ... + 1462534.

It is an arithmetic number, because the mean of its divisors is an integer number (20479614750).

Almost surely, 21012102222120 is an apocalyptic number.

1012102222120 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 1012102222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310695344000).

1012102222120 is an abundant number, since it is smaller than the sum of its proper divisors (1609288465880).

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

1012102222120 is a wasteful number, since it uses less digits than its factorization.

1012102222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123843 (or 1123839 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012102222120 its reverse (212222012101), we get a palindrome (1224324234221).

The spelling of 1012102222120 in words is "one trillion, twelve billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 89 92 110 115 178 184 220 230 253 356 440 445 460 506 712 890 920 979 1012 1265 1780 1958 2024 2047 2530 3560 3916 4094 4895 5060 7832 8188 9790 10120 10235 16376 19580 20470 22517 39160 40940 45034 81880 90068 112585 180136 225170 450340 900680 1123709 2247418 4494836 5618545 8989672 11237090 12360799 22474180 24721598 25845307 44948360 49443196 51690614 61803995 98886392 100010101 103381228 123607990 129226535 200020202 206762456 247215980 258453070 284298377 400040404 494431960 500050505 516906140 568596754 800080808 1000101010 1033812280 1100111111 1137193508 1421491885 2000202020 2200222222 2274387016 2300232323 2842983770 4000404040 4400444444 4600464646 5500555555 5685967540 8800888888 9200929292 11001111110 11371935080 11501161615 18401858584 22002222220 23002323230 25302555553 44004444440 46004646460 50605111106 92009292920 101210222212 126512777765 202420444424 253025555530 506051111060 1012102222120