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231431123404413 = 3214924792418083
BaseRepresentation
bin110100100111110001000001…
…111001101000011001111101
31010100102121011220111101001100
4310213301001321220121331
5220313231420042420123
62140113553530003313
766514226661154332
oct6447610171503175
91110377156441040
10231431123404413
116781742a846019
1221b58a9ab76539
139c19b2735390a
14412147ccd6989
151bb50c455c643
hexd27c41e6867d

231431123404413 has 36 divisors (see below), whose sum is σ = 337250755820160. Its totient is φ = 152931924949152.

The previous prime is 231431123404387. The next prime is 231431123404421. The reversal of 231431123404413 is 314404321134132.

231431123404413 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 3 + 1 + 1 + 234 + 0 + 4 + 413 = 666.

It is not a de Polignac number, because 231431123404413 - 25 = 231431123404381 is a prime.

It is a super-3 number, since 3×2314311234044133 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231431123454413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94499470 + ... + 96917552.

It is an arithmetic number, because the mean of its divisors is an integer number (9368076550560).

Almost surely, 2231431123404413 is an apocalyptic number.

It is an amenable number.

231431123404413 is a deficient number, since it is larger than the sum of its proper divisors (105819632415747).

231431123404413 is a wasteful number, since it uses less digits than its factorization.

231431123404413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418866 (or 2418714 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 231431123404413 its reverse (314404321134132), we get a palindrome (545835444538545).

The spelling of 231431123404413 in words is "two hundred thirty-one trillion, four hundred thirty-one billion, one hundred twenty-three million, four hundred four thousand, four hundred thirteen".

Divisors: 1 3 9 149 447 479 1341 1437 4311 22201 66603 71371 199809 214113 642339 2418083 7254249 10634279 21762747 31902837 95708511 360294367 1080883101 1158261757 3242649303 3474785271 10424355813 53683860683 161051582049 172581001793 483154746147 517743005379 1553229016137 25714569267157 77143707801471 231431123404413