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31033531145 = 5377311531993
BaseRepresentation
bin11100111001101111…
…100001101100001001
32222002210001201120102
4130321233201230021
51002024040444040
622131232135145
72146016443121
oct347157415411
988083051512
1031033531145
111218568a301
1260210974b5
132c075425a6
141705803c81
15c19730515
hex739be1b09

31033531145 has 32 divisors (see below), whose sum is σ = 38823754272. Its totient is φ = 23792320512.

The previous prime is 31033531121. The next prime is 31033531163. The reversal of 31033531145 is 54113533013.

It can be written as a sum of positive squares in 16 ways, for example, as 166203664 + 30867327481 = 12892^2 + 175691^2 .

It is a cyclic number.

It is not a de Polignac number, because 31033531145 - 214 = 31033514761 is a prime.

It is a super-2 number, since 2×310335311452 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15570269 + ... + 15572261.

It is an arithmetic number, because the mean of its divisors is an integer number (1213242321).

Almost surely, 231033531145 is an apocalyptic number.

It is an amenable number.

31033531145 is a deficient number, since it is larger than the sum of its proper divisors (7790223127).

31033531145 is a wasteful number, since it uses less digits than its factorization.

31033531145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261.

The product of its (nonzero) digits is 8100, while the sum is 29.

The spelling of 31033531145 in words is "thirty-one billion, thirty-three million, five hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 5 37 73 185 365 1153 1993 2701 5765 9965 13505 42661 73741 84169 145489 213305 368705 420845 727445 2297929 3114253 5383093 11489645 15571265 26915465 85023373 167748817 425116865 838744085 6206706229 31033531145