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102223023332094 = 23277391553706907
BaseRepresentation
bin10111001111100010100110…
…111111100101101011111110
3111101221102111020220111221200
4113033202212333211223332
5101344310222433111334
61001224335243440330
730350240545531440
oct2717424677455376
9441842436814850
10102223023332094
112a6315a47a4345
12b56b60b8260a6
1345067888675c2
141b358993c6490
15bc40c70de799
hex5cf8a6fe5afe

102223023332094 has 96 divisors (see below), whose sum is σ = 253629768188160. Its totient is φ = 29148233999616.

The previous prime is 102223023332069. The next prime is 102223023332191. The reversal of 102223023332094 is 490233320322201.

102223023332094 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 230 + 2 + 3 + 332 + 0 + 94 = 666.

It is a super-2 number, since 2×1022230233320942 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144252589 + ... + 144959495.

It is an arithmetic number, because the mean of its divisors is an integer number (2641976751960).

Almost surely, 2102223023332094 is an apocalyptic number.

102223023332094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102223023332094 is an abundant number, since it is smaller than the sum of its proper divisors (151406744856066).

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

102223023332094 is a wasteful number, since it uses less digits than its factorization.

102223023332094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709214 (or 709211 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 102223023332094 its reverse (490233320322201), we get a palindrome (592456343654295).

The spelling of 102223023332094 in words is "one hundred two trillion, two hundred twenty-three billion, twenty-three million, three hundred thirty-two thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 739 1478 1553 2217 3106 4434 4659 5173 6651 9318 10346 10871 13302 13977 15519 21742 27954 31038 32613 46557 65226 93114 97839 195678 706907 1147667 1413814 2120721 2295334 3443001 4241442 4948349 6362163 6886002 8033669 9896698 10329003 12724326 14845047 16067338 20658006 24101007 29690094 44535141 48202014 72303021 89070282 144606042 522404273 1044808546 1097826571 1567212819 2195653142 3134425638 3293479713 3656829911 4701638457 6586959426 7313659822 7684785997 9403276914 9880439139 10970489733 15369571994 19760878278 21940979466 23054357991 32911469199 46108715982 65822938398 69163073973 138326147946 811293835969 1622587671938 2433881507907 4867763015814 5679056851783 7301644523721 11358113703566 14603289047442 17037170555349 34074341110698 51111511666047 102223023332094