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252011232331002 = 23244332719661913
BaseRepresentation
bin111001010011001111101111…
…111110111000010011111010
31020001022001001002020201010200
4321103033233332320103322
5231012423000434043002
62251552210055423030
7104040132160551504
oct7123175776702372
91201261032221120
10252011232331002
11733313aa805801
122432156b984a76
13aa80732337b11
1446335a1788d74
151e205ccd5eb1c
hexe533effb84fa

252011232331002 has 48 divisors (see below), whose sum is σ = 547424259640128. Its totient is φ = 83788487340480.

The previous prime is 252011232330961. The next prime is 252011232331051. The reversal of 252011232331002 is 200133232110252.

252011232331002 is a `hidden beast` number, since 2 + 5 + 20 + 1 + 1 + 2 + 323 + 310 + 0 + 2 = 666.

It is a super-2 number, since 2×2520112323310022 (a number of 30 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 21251998 + ... + 30913910.

It is an arithmetic number, because the mean of its divisors is an integer number (11404672075836).

Almost surely, 2252011232331002 is an apocalyptic number.

252011232331002 is an abundant number, since it is smaller than the sum of its proper divisors (295413027309126).

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

252011232331002 is a wasteful number, since it uses less digits than its factorization.

252011232331002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665635 (or 9665632 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 252011232331002 its reverse (200133232110252), we get a palindrome (452144464441254).

The spelling of 252011232331002 in words is "two hundred fifty-two trillion, eleven billion, two hundred thirty-two million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 443 886 1329 2658 3271 3987 6542 7974 9813 19626 29439 58878 1449053 2898106 4347159 8694318 9661913 13041477 19323826 26082954 28985739 57971478 86957217 173914434 4280227459 8560454918 12840682377 25681364754 31604117423 38522047131 63208234846 77044094262 94812352269 189624704538 284437056807 568874113614 14000624018389 28001248036778 42001872055167 84003744110334 126005616165501 252011232331002