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31434102305 = 543598233011
BaseRepresentation
bin11101010001100111…
…100101011000100001
310000010200210211220022
4131101213211120201
51003334112233210
622235101523225
72161652314064
oct352147453041
9100120724808
1031434102305
1112370805351
126113273515
132c6c523b48
141742ab68db
15c3e9a8155
hex7519e5621

31434102305 has 32 divisors (see below), whose sum is σ = 39313105920. Its totient is φ = 24108799680.

The previous prime is 31434102283. The next prime is 31434102311. The reversal of 31434102305 is 50320143413.

It is not a de Polignac number, because 31434102305 - 218 = 31433840161 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10438250 + ... + 10441260.

It is an arithmetic number, because the mean of its divisors is an integer number (1228534560).

Almost surely, 231434102305 is an apocalyptic number.

It is an amenable number.

31434102305 is a deficient number, since it is larger than the sum of its proper divisors (7879003615).

31434102305 is a wasteful number, since it uses less digits than its factorization.

31434102305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 31434102305 its reverse (50320143413), we get a palindrome (81754245718).

The spelling of 31434102305 in words is "thirty-one billion, four hundred thirty-four million, one hundred two thousand, three hundred five".

Divisors: 1 5 43 59 215 295 823 2537 3011 4115 12685 15055 35389 48557 129473 176945 177649 242785 647365 888245 2087951 2478053 7638907 10439755 12390265 38194535 106556279 146205127 532781395 731025635 6286820461 31434102305