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1312431337 = 72294347457
BaseRepresentation
bin100111000111010…
…0001110011101001
310101110120102100001
41032032201303221
510141440300322
6334121543001
744344324300
oct11616416351
93343512301
101312431337
116139190a8
12307644a61
1317bb9b3b9
14c6439437
157a348827
hex4e3a1ce9

1312431337 has 48 divisors (see below), whose sum is σ = 1654076160. Its totient is φ = 1036046592.

The previous prime is 1312431317. The next prime is 1312431343. The reversal of 1312431337 is 7331342131.

It is a de Polignac number, because none of the positive numbers 2k-1312431337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312431317) 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, 2871613 + ... + 2872069.

It is an arithmetic number, because the mean of its divisors is an integer number (34459920).

Almost surely, 21312431337 is an apocalyptic number.

It is an amenable number.

1312431337 is a deficient number, since it is larger than the sum of its proper divisors (341644823).

1312431337 is a wasteful number, since it uses less digits than its factorization.

1312431337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 583 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 1312431337 is about 36227.4942136494. The cubic root of 1312431337 is about 1094.8606918820.

Adding to 1312431337 its reverse (7331342131), we get a palindrome (8643773468).

The spelling of 1312431337 in words is "one billion, three hundred twelve million, four hundred thirty-one thousand, three hundred thirty-seven".

Divisors: 1 7 29 43 47 49 203 301 329 457 1247 1363 1421 2021 2107 2303 3199 8729 9541 13253 14147 19651 21479 22393 58609 61103 66787 92771 99029 137557 150353 410263 569879 622891 649397 923597 962899 1052471 2871841 3989153 4360237 6465179 26784313 27924071 30521659 45256253 187490191 1312431337