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10131321224112 = 2431121991809131
BaseRepresentation
bin1001001101101110000111…
…0011010111101110110000
31022212112201012021122012120
42103123201303113232300
52311442421213132422
633314133102354240
72063651404340064
oct223334163275660
938775635248176
1010131321224112
11325673a787400
121177626b8b980
135864c198966a
14270503c81aa4
15128813c8a45c
hex936e1cd7bb0

10131321224112 has 120 divisors (see below), whose sum is σ = 30282324098880. Its totient is φ = 2908513238400.

The previous prime is 10131321224099. The next prime is 10131321224117. The reversal of 10131321224112 is 21142212313101.

It is a super-2 number, since 2×101313212241122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10131321224117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45794214 + ... + 46014917.

It is an arithmetic number, because the mean of its divisors is an integer number (252352700824).

Almost surely, 210131321224112 is an apocalyptic number.

10131321224112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131321224112 is an abundant number, since it is smaller than the sum of its proper divisors (20151002874768).

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

10131321224112 is a wasteful number, since it uses less digits than its factorization.

10131321224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91809183 (or 91809166 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10131321224112 its reverse (21142212313101), we get a palindrome (31273533537213).

The spelling of 10131321224112 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2508 2904 3344 4598 5016 5808 6897 9196 10032 13794 18392 27588 36784 55176 110352 91809131 183618262 275427393 367236524 550854786 734473048 1009900441 1101709572 1468946096 1744373489 2019800882 2203419144 3029701323 3488746978 4039601764 4406838288 5233120467 6059402646 6977493956 8079203528 10466240934 11108904851 12118805292 13954987912 16158407056 19188108379 20932481868 22217809702 24237610584 27909975824 33326714553 38376216758 41864963736 44435619404 48475221168 57564325137 66653429106 76752433516 83729927472 88871238808 115128650274 133306858212 153504867032 177742477616 211069192169 230257300548 266613716424 307009734064 422138384338 460514601096 533227432848 633207576507 844276768676 921029202192 1266415153014 1688553537352 2532830306028 3377107074704 5065660612056 10131321224112