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100110010111056 = 243211565991116641
BaseRepresentation
bin10110110000110010101101…
…100101110101010001010000
3111010110102102201202012102100
4112300302231211311101100
5101110200300042023211
6552525523113120400
730041465242514061
oct2660625545652120
9433412381665370
10100110010111056
1129997464932930
12b289ba79b9100
1343b244477310a
141aa14c94a8568
15b89157713156
hex5b0cad975450

100110010111056 has 120 divisors (see below), whose sum is σ = 305644568299200. Its totient is φ = 30335803545600.

The previous prime is 100110010111051. The next prime is 100110010111073. The reversal of 100110010111056 is 650111010011001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110010111051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89094496 + ... + 90211136.

It is an arithmetic number, because the mean of its divisors is an integer number (2547038069160).

Almost surely, 2100110010111056 is an apocalyptic number.

100110010111056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100110010111056 is an abundant number, since it is smaller than the sum of its proper divisors (205534558188144).

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

100110010111056 is a wasteful number, since it uses less digits than its factorization.

100110010111056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173265 (or 1173256 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 100110010111056 its reverse (650111010011001), we get a palindrome (750221020122057).

The spelling of 100110010111056 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred eleven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 56599 113198 169797 226396 339594 452792 509391 622589 679188 905584 1018782 1116641 1245178 1358376 1867767 2037564 2233282 2490356 2716752 3349923 3735534 4075128 4466564 4980712 5603301 6699846 7471068 8150256 8933128 9961424 10049769 11206602 12283051 13399692 14942136 17866256 20099538 22413204 24566102 26799384 29884272 36849153 40199076 44826408 49132204 53598768 73698306 80398152 89652816 98264408 110547459 147396612 160796304 196528816 221094918 294793224 442189836 589586448 884379672 1768759344 63200763959 126401527918 189602291877 252803055836 379204583754 505606111672 568806875631 695208403549 758409167508 1011212223344 1137613751262 1390416807098 1516818335016 2085625210647 2275227502524 2780833614196 3033636670032 4171250421294 4550455005048 5561667228392 6256875631941 8342500842588 9100910010096 11123334456784 12513751263882 16685001685176 25027502527764 33370003370352 50055005055528 100110010111056