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112100110120020 = 2235111229138200693
BaseRepresentation
bin11001011111010001010111…
…001111100011010001010100
3112200220122222102020122121010
4121133101113033203101110
5104143122011142320040
61034230025112052220
732416652142145011
oct3137212717432124
9480818872218533
10112100110120020
113279a43179a960
12106a5904094070
134a71cc20c0129
141d97962318708
15ce5eab42ce80
hex65f4573e3454

112100110120020 has 96 divisors (see below), whose sum is σ = 342693496897920. Its totient is φ = 27153671964160.

The previous prime is 112100110120013. The next prime is 112100110120049. The reversal of 112100110120020 is 20021011001211.

It is a super-2 number, since 2×1121001101200202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112100110119978 and 112100110120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68289207 + ... + 69911486.

It is an arithmetic number, because the mean of its divisors is an integer number (3569723926020).

Almost surely, 2112100110120020 is an apocalyptic number.

112100110120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100110120020 is an abundant number, since it is smaller than the sum of its proper divisors (230593386777900).

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

112100110120020 is a wasteful number, since it uses less digits than its factorization.

112100110120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138201945 (or 138201943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112100110120020 its reverse (20021011001211), we get a palindrome (132121121121231).

The spelling of 112100110120020 in words is "one hundred twelve trillion, one hundred billion, one hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1229 2458 3687 4916 6145 7374 12290 13519 14748 18435 24580 27038 36870 40557 54076 67595 73740 81114 135190 162228 202785 270380 405570 811140 138200693 276401386 414602079 552802772 691003465 829204158 1382006930 1520207623 1658408316 2073010395 2764013860 3040415246 4146020790 4560622869 6080830492 7601038115 8292041580 9121245738 15202076230 18242491476 22803114345 30404152460 45606228690 91212457380 169848651697 339697303394 509545955091 679394606788 849243258485 1019091910182 1698486516970 1868335168667 2038183820364 2547729775455 3396973033940 3736670337334 5095459550910 5605005506001 7473340674668 9341675843335 10190919101820 11210011012002 18683351686670 22420022024004 28025027530005 37366703373340 56050055060010 112100110120020