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631112214000312 = 2333111312027630677
BaseRepresentation
bin1000111101111111100100001…
…1010101000011001010111000
310001202120201221022110012112000
42033133321003111003022320
51130210120303241002222
610114132540521421000
7246635231666655312
oct21737710325031270
93052521838405460
10631112214000312
11173101206818220
125a94993763a760
132111c81b305555
14b1bbdcbcc87b2
154ce6a24d8a9ac
hex23dfe435432b8

631112214000312 has 128 divisors (see below), whose sum is σ = 1927060196371200. Its totient is φ = 189786231273600.

The previous prime is 631112214000259. The next prime is 631112214000313. The reversal of 631112214000312 is 213000412211136.

631112214000312 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 1 + 221 + 400 + 0 + 31 + 2 = 666.

It is a super-2 number, since 2×6311122140003122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631112214000313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013504083 + ... + 1014126594.

It is an arithmetic number, because the mean of its divisors is an integer number (15055157784150).

Almost surely, 2631112214000312 is an apocalyptic number.

It is an amenable number.

631112214000312 is an abundant number, since it is smaller than the sum of its proper divisors (1295947982370888).

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

631112214000312 is a wasteful number, since it uses less digits than its factorization.

631112214000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027630834 (or 2027630824 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 631112214000312 its reverse (213000412211136), we get a palindrome (844112626211448).

The spelling of 631112214000312 in words is "six hundred thirty-one trillion, one hundred twelve billion, two hundred fourteen million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 131 132 198 216 262 264 297 393 396 524 594 786 792 1048 1179 1188 1441 1572 2358 2376 2882 3144 3537 4323 4716 5764 7074 8646 9432 11528 12969 14148 17292 25938 28296 34584 38907 51876 77814 103752 155628 311256 2027630677 4055261354 6082892031 8110522708 12165784062 16221045416 18248676093 22303937447 24331568124 36497352186 44607874894 48663136248 54746028279 66911812341 72994704372 89215749788 109492056558 133823624682 145989408744 178431499576 200735437023 218984113116 265619618687 267647249364 401470874046 437968226232 531239237374 535294498728 602206311069 796858856061 802941748092 1062478474748 1204412622138 1593717712122 1605883496184 2124956949496 2390576568183 2408825244276 2921815805557 3187435424244 4781153136366 4817650488552 5843631611114 6374870848488 7171729704549 8765447416671 9562306272732 11687263222228 14343459409098 17530894833342 19124612545464 23374526444456 26296342250013 28686918818196 35061789666684 52592684500026 57373837636392 70123579333368 78889026750039 105185369000052 157778053500078 210370738000104 315556107000156 631112214000312