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232431002441331 = 33123892693388471
BaseRepresentation
bin110100110110010100001111…
…010101011101011001110011
31010110222012001012022020101020
4310312110033111131121303
5220431122143111110311
62142201154535510523
766646404626561331
oct6466241725353163
91113865035266336
10232431002441331
1168072486461621
122209a828528443
139c901c3549065
144157a13252b51
151bd10e537cc06
hexd3650f55d673

232431002441331 has 32 divisors (see below), whose sum is σ = 320158608322560. Its totient is φ = 149836670467200.

The previous prime is 232431002441317. The next prime is 232431002441377. The reversal of 232431002441331 is 133144200134232.

It is not a de Polignac number, because 232431002441331 - 214 = 232431002424947 is a prime.

It is a super-4 number, since 4×2324310024413314 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 232431002441292 and 232431002441301.

It is not an unprimeable number, because it can be changed into a prime (232431002441431) 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, 598128426 + ... + 598516896.

It is an arithmetic number, because the mean of its divisors is an integer number (10004956510080).

Almost surely, 2232431002441331 is an apocalyptic number.

232431002441331 is a deficient number, since it is larger than the sum of its proper divisors (87727605881229).

232431002441331 is a wasteful number, since it uses less digits than its factorization.

232431002441331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393587.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 232431002441331 its reverse (133144200134232), we get a palindrome (365575202575563).

The spelling of 232431002441331 in words is "two hundred thirty-two trillion, four hundred thirty-one billion, two million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 31 93 2389 2693 7167 8079 74059 83483 222177 250449 388471 1165413 6433577 12042601 19300731 36127803 199440887 598322661 928057219 1046152403 2784171657 3138457209 28769773789 32430724493 86309321367 97292173479 2499258090767 7497774272301 77477000813777 232431002441331