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102220013124 = 22333534316221
BaseRepresentation
bin101111100110011001…
…0011001111001000100
3100202211212222200202000
41133030302121321010
53133321310404444
6114543105345300
710246051526655
oct1371462317104
9322755880660
10102220013124
113a395594899
1217989338230
13984072a488
144d39c2b52c
1529d40ab469
hex17ccc99e44

102220013124 has 96 divisors (see below), whose sum is σ = 266425044480. Its totient is φ = 33892531200.

The previous prime is 102220013113. The next prime is 102220013153. The reversal of 102220013124 is 421310022201.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 102220013097 and 102220013106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16428334 + ... + 16434554.

It is an arithmetic number, because the mean of its divisors is an integer number (2775260880).

Almost surely, 2102220013124 is an apocalyptic number.

It is an amenable number.

102220013124 is an abundant number, since it is smaller than the sum of its proper divisors (164205031356).

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

102220013124 is a wasteful number, since it uses less digits than its factorization.

102220013124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102220013124 its reverse (421310022201), we get a palindrome (523530035325).

The spelling of 102220013124 in words is "one hundred two billion, two hundred twenty million, thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 353 431 706 862 1059 1293 1412 1724 2118 2586 3177 3879 4236 5172 6221 6354 7758 9531 11637 12442 12708 15516 18663 19062 23274 24884 37326 38124 46548 55989 74652 111978 152143 167967 223956 304286 335934 456429 608572 671868 912858 1369287 1825716 2196013 2681251 2738574 4107861 4392026 5362502 5477148 6588039 8043753 8215722 8784052 10725004 13176078 16087506 16431444 19764117 24131259 26352156 32175012 39528234 48262518 59292351 72393777 79056468 96525036 118584702 144787554 237169404 289575108 946481603 1892963206 2839444809 3785926412 5678889618 8518334427 11357779236 17036668854 25555003281 34073337708 51110006562 102220013124