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431023433231313 = 3513502127174467
BaseRepresentation
bin110001000000000110111011…
…0101000001010101111010001
32002112010102211011010210100000
41202000031312220022233101
5422443341442401400223
64124413233124120213
7156534262325266326
oct14200156650125721
92075112734123300
10431023433231313
1111537901433510a
124041328b836069
13156674489bcc80
1478619072a0b4d
1534c6d96a08543
hex1880376a0abd1

431023433231313 has 48 divisors (see below), whose sum is σ = 695452028596416. Its totient is φ = 265192352758080.

The previous prime is 431023433231311. The next prime is 431023433231383. The reversal of 431023433231313 is 313132334320134.

431023433231313 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 2 + 3 + 4 + 332 + 3 + 1 + 313 = 666.

It is not a de Polignac number, because 431023433231313 - 21 = 431023433231311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (431023433231311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2274106 + ... + 29448572.

It is an arithmetic number, because the mean of its divisors is an integer number (14488583929092).

Almost surely, 2431023433231313 is an apocalyptic number.

It is an amenable number.

431023433231313 is a deficient number, since it is larger than the sum of its proper divisors (264428595365103).

431023433231313 is a wasteful number, since it uses less digits than its factorization.

431023433231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27179516 (or 27179504 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 431023433231313 its reverse (313132334320134), we get a palindrome (744155767551447).

The spelling of 431023433231313 in words is "four hundred thirty-one trillion, twenty-three billion, four hundred thirty-three million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 5021 15063 45189 65273 135567 195819 406701 587457 1220103 1762371 5287113 15861339 27174467 81523401 244570203 353268071 733710609 1059804213 2201131827 3179412639 6603395481 9538237917 28614713751 85844141253 136442998807 409328996421 1227986989263 1773758984491 3683960967789 5321276953473 11051882903367 15963830860419 33155648710101 47891492581257 143674477743771 431023433231313