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105602571711044 = 222931672571705481
BaseRepresentation
bin11000000000101110000011…
…110001100011001001000100
3111211220111200210102011112022
4120000232003301203021010
5102320143031324223134
61012333052434142312
731146351113012312
oct3000560361431104
9454814623364468
10105602571711044
113071488774a861
12ba1659b721998
1346c03838b4405
141c112981d90b2
15c31e72a0252e
hex600b83c63244

105602571711044 has 96 divisors (see below), whose sum is σ = 201068960117760. Its totient is φ = 48410527334400.

The previous prime is 105602571711011. The next prime is 105602571711151. The reversal of 105602571711044 is 440117175206501.

It is a super-2 number, since 2×1056025717110442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105602571710986 and 105602571711004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61066784 + ... + 62772264.

It is an arithmetic number, because the mean of its divisors is an integer number (2094468334560).

Almost surely, 2105602571711044 is an apocalyptic number.

It is an amenable number.

105602571711044 is a deficient number, since it is larger than the sum of its proper divisors (95466388406716).

105602571711044 is a wasteful number, since it uses less digits than its factorization.

105602571711044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705869 (or 1705867 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 44.

The spelling of 105602571711044 in words is "one hundred five trillion, six hundred two billion, five hundred seventy-one million, seven hundred eleven thousand, forty-four".

Divisors: 1 2 4 29 31 58 62 67 116 124 134 257 268 514 899 1028 1798 1943 2077 3596 3886 4154 7453 7772 7967 8308 14906 15934 17219 29812 31868 34438 60233 68876 120466 231043 240932 462086 499351 533789 924172 998702 1067578 1705481 1997404 2135156 3410962 6821924 15479881 30959762 49458949 52869911 61919524 98917898 105739822 114267227 197835796 211479644 228534454 438308617 457068908 876617234 1533227419 1753234468 3066454838 3313749583 3542284037 6132909676 6627499166 7084568074 12710949893 13254998332 13587567127 14169136148 25421899786 27175134254 29366677339 50843799572 54350268508 58733354678 102726237073 117466709356 205452474146 394039446683 410904948292 788078893366 851633642831 910366997509 1576157786732 1703267285662 1820733995018 3406534571324 3641467990036 26400642927761 52801285855522 105602571711044