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232133224003123 = 23712292089297151
BaseRepresentation
bin110100110001111110111010…
…010110110111011000110011
31010102220201102111122020111111
4310301332322112313120303
5220411232320321044443
62141412310402254151
766616033455610342
oct6461767226673063
91112821374566444
10232133224003123
1167a68169281603
1222050b83057357
139c6b0b8a5b071
1441474451a1b59
151bc84b7c4969d
hexd31fba5b7633

232133224003123 has 32 divisors (see below), whose sum is σ = 246829189939200. Its totient is φ = 217852123104000.

The previous prime is 232133224003103. The next prime is 232133224003199. The reversal of 232133224003123 is 321300422331232.

It is a cyclic number.

It is not a de Polignac number, because 232133224003123 - 25 = 232133224003091 is a prime.

It is a super-2 number, since 2×2321332240031232 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232133224003103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781047598 + ... + 781344748.

It is an arithmetic number, because the mean of its divisors is an integer number (7713412185600).

Almost surely, 2232133224003123 is an apocalyptic number.

232133224003123 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

232133224003123 is a deficient number, since it is larger than the sum of its proper divisors (14695965936077).

232133224003123 is a wasteful number, since it uses less digits than its factorization.

232133224003123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299563.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 232133224003123 its reverse (321300422331232), we get a palindrome (553433646334355).

The spelling of 232133224003123 in words is "two hundred thirty-two trillion, one hundred thirty-three billion, two hundred twenty-four million, three thousand, one hundred twenty-three".

Divisors: 1 23 71 229 1633 2089 5267 16259 48047 148319 297151 373957 478381 3411337 6834473 11002763 21097721 33965051 68047579 485247583 620748439 781196173 1565094317 4831378109 14277214097 44073139169 111121696507 142151392531 1013682200887 3269482028213 10092748869701 232133224003123