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10131342102312 = 23317157158163827
BaseRepresentation
bin1001001101101110001100…
…0011000000111100101000
31022212112202122120100201020
42103123203003000330220
52311442442034233222
633314135130052440
72063652046654344
oct223334303007450
938775678510636
1010131342102312
113256750547512
121177631b7a120
135864c60b9722
14270506958624
15128815a1165c
hex936e30c0f28

10131342102312 has 64 divisors (see below), whose sum is σ = 26989075609920. Its totient is φ = 3158215277568.

The previous prime is 10131342102257. The next prime is 10131342102331. The reversal of 10131342102312 is 21320124313101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 79017858 + ... + 79145969.

It is an arithmetic number, because the mean of its divisors is an integer number (421704306405).

Almost surely, 210131342102312 is an apocalyptic number.

10131342102312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131342102312 is an abundant number, since it is smaller than the sum of its proper divisors (16857733507608).

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

10131342102312 is a wasteful number, since it uses less digits than its factorization.

10131342102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158164010 (or 158164006 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10131342102312 its reverse (21320124313101), we get a palindrome (31451466415413).

The spelling of 10131342102312 in words is "ten trillion, one hundred thirty-one billion, three hundred forty-two million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 157 204 314 408 471 628 942 1256 1884 2669 3768 5338 8007 10676 16014 21352 32028 64056 158163827 316327654 474491481 632655308 948982962 1265310616 1897965924 2688785059 3795931848 5377570118 8066355177 10755140236 16132710354 21510280472 24831720839 32265420708 49663441678 64530841416 74495162517 99326883356 148990325034 198653766712 297980650068 422139254263 595961300136 844278508526 1266417762789 1688557017052 2532835525578 3377114034104 5065671051156 10131342102312