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31134645135 = 3451117939043
BaseRepresentation
bin11100111111110001…
…001111101110001111
32222100211022211220000
4130333301033232033
51002230432121020
622145243255343
72151355055106
oct347761175617
988324284800
1031134645135
1112227771790
12604ab1a553
132c22486159
14171500503d
15c23555090
hex73fc4fb8f

31134645135 has 80 divisors (see below), whose sum is σ = 61227239040. Its totient is φ = 15010868160.

The previous prime is 31134645077. The next prime is 31134645163. The reversal of 31134645135 is 53154643113.

31134645135 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 4 + 645 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 31134645135 - 212 = 31134641039 is a prime.

It is a super-2 number, since 2×311346451352 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31134645135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 777924 + ... + 816966.

It is an arithmetic number, because the mean of its divisors is an integer number (765340488).

Almost surely, 231134645135 is an apocalyptic number.

31134645135 is a deficient number, since it is larger than the sum of its proper divisors (30092593905).

31134645135 is a wasteful number, since it uses less digits than its factorization.

31134645135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39250 (or 39241 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 31134645135 in words is "thirty-one billion, one hundred thirty-four million, six hundred forty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 179 297 405 495 537 891 895 1485 1611 1969 2685 4455 4833 5907 8055 9845 14499 17721 24165 29535 39043 53163 72495 88605 117129 159489 195215 265815 351387 429473 585645 797445 1054161 1288419 1756935 2147365 3162483 3865257 5270805 6442095 6988697 11595771 15812415 19326285 20966091 34787313 34943485 57978855 62898273 76875667 104830455 173936565 188694819 230627001 314491365 384378335 566084457 691881003 943474095 1153135005 2075643009 2830422285 3459405015 6226929027 10378215045 31134645135