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31294874065 = 57131719732917
BaseRepresentation
bin11101001001010100…
…011110000111010001
32222202222211022122211
4131021110132013101
51003042441432230
622213205432121
72155342016620
oct351124360721
988688738584
1031294874065
11122aa160094
12609470b641
132c49726b80
14172c3d36b7
15c3265542a
hex74951e1d1

31294874065 has 128 divisors (see below), whose sum is σ = 52238269440. Its totient is φ = 17414258688.

The previous prime is 31294874063. The next prime is 31294874069. The reversal of 31294874065 is 56047849213.

It is a happy number.

It is a 12-Lehmer number, since φ(31294874065) divides (31294874065-1)12.

It is a cyclic number.

It is not a de Polignac number, because 31294874065 - 21 = 31294874063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31294874063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10726987 + ... + 10729903.

It is an arithmetic number, because the mean of its divisors is an integer number (408111480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅31294874065 = 62589748130, but 3⋅31294874065 = 93884622195 is not.

Almost surely, 231294874065 is an apocalyptic number.

31294874065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31294874065 is a deficient number, since it is larger than the sum of its proper divisors (20943395375).

31294874065 is a wasteful number, since it uses less digits than its factorization.

31294874065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 31294874065 in words is "thirty-one billion, two hundred ninety-four million, eight hundred seventy-four thousand, sixty-five".

Divisors: 1 5 7 13 17 19 35 65 73 85 91 95 119 133 221 247 323 365 455 511 595 665 949 1105 1235 1241 1387 1547 1615 1729 2261 2555 2917 4199 4745 6205 6643 6935 7735 8645 8687 9709 11305 14585 16133 18031 20419 20995 23579 29393 33215 37921 43435 48545 49589 55423 80665 90155 102095 112931 117895 126217 146965 165053 189605 212941 247945 265447 277115 306527 347123 387961 564655 631085 644657 720499 825265 942191 1064705 1327235 1490587 1532635 1735615 1939805 2145689 2768233 3223285 3602495 3619997 4045879 4512599 4710955 5043493 6595337 7452935 10728445 12248483 13841165 18099985 19377631 20229395 22562995 25217465 25339979 28321153 32976685 47059961 52596427 61242415 68779943 85739381 96888155 126699895 141605765 235299805 262982135 329419727 343899715 368174989 428696905 481459601 894139259 1647098635 1840874945 2407298005 4470696295 6258974813 31294874065