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10132314324 = 22311672694259
BaseRepresentation
bin10010110111110111…
…01101100011010100
3222011010201220020220
421123323231203110
5131222333024244
64353230354340
7506042151666
oct113373554324
928133656226
1010132314324
11432a4777a0
121b6935b9b0
13c56236482
146c1966536
153e47e7319
hex25beed8d4

10132314324 has 96 divisors (see below), whose sum is σ = 26279769600. Its totient is φ = 3012620160.

The previous prime is 10132314307. The next prime is 10132314377. The reversal of 10132314324 is 42341323101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10132314294 and 10132314303.

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, 2376907 + ... + 2381165.

It is an arithmetic number, because the mean of its divisors is an integer number (273747600).

Almost surely, 210132314324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139884800).

10132314324 is an abundant number, since it is smaller than the sum of its proper divisors (16147455276).

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

10132314324 is a wasteful number, since it uses less digits than its factorization.

10132314324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10132314324 its reverse (42341323101), we get a palindrome (52473637425).

The spelling of 10132314324 in words is "ten billion, one hundred thirty-two million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 269 402 538 737 804 807 1076 1474 1614 2211 2948 2959 3228 4259 4422 5918 8518 8844 8877 11836 12777 17036 17754 18023 25554 35508 36046 46849 51108 54069 72092 93698 108138 140547 187396 198253 216276 281094 285353 396506 562188 570706 594759 793012 856059 1141412 1145671 1189518 1712118 2291342 2379036 3138883 3424236 3437013 4582684 6277766 6874026 9416649 12555532 12602381 13748052 18833298 25204762 37666596 37807143 50409524 75614286 76759957 151228572 153519914 230279871 307039828 460559742 844359527 921119484 1688719054 2533078581 3377438108 5066157162 10132314324