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31313231313 = 37213293715271
BaseRepresentation
bin11101001010011010…
…011111110111010001
32222211021100222001220
4131022122133313101
51003112141400223
622215103115253
72155654034400
oct351232376721
988737328056
1031313231313
1112309559171
12609a8a2b29
132c50483650
141730a11637
15c3407e6e3
hex74a69fdd1

31313231313 has 96 divisors (see below), whose sum is σ = 55572975360. Its totient is φ = 15515297280.

The previous prime is 31313231303. The next prime is 31313231351.

31313231313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31313231313 - 212 = 31313227217 is a prime.

It is a super-2 number, since 2×313132313132 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31313231303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2042868 + ... + 2058138.

It is an arithmetic number, because the mean of its divisors is an integer number (578885160).

Almost surely, 231313231313 is an apocalyptic number.

It is an amenable number.

31313231313 is a deficient number, since it is larger than the sum of its proper divisors (24259744047).

31313231313 is a wasteful number, since it uses less digits than its factorization.

31313231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15367 (or 15360 counting only the distinct ones).

The product of its digits is 1458, while the sum is 24.

The spelling of 31313231313 in words is "thirty-one billion, three hundred thirteen million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 13 21 29 37 39 49 87 91 111 147 203 259 273 377 481 609 637 777 1073 1131 1421 1443 1813 1911 2639 3219 3367 4263 5439 7511 7917 10101 13949 15271 18473 22533 23569 41847 45813 52577 55419 70707 97643 106897 157731 198523 292929 320691 442859 565027 595569 683501 748279 1328577 1389661 1695081 2050503 2244837 3100013 3955189 4168983 5757167 7345351 9300039 9727627 11865567 16385783 17271501 21700091 22036053 27686323 29182881 40300169 49157349 51417457 65100273 83058969 114700481 120900507 154252371 213015179 282101183 344101443 359922199 639045537 802903367 846303549 1079766597 1491106253 2408710101 4473318759 10437743771 31313231313