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31087117441 = 389345723117
BaseRepresentation
bin11100111100111011…
…111100010010000001
32222020111220012011001
4130330323330102001
51002131300224231
622140424452001
72150240065312
oct347473742201
988214805131
1031087117441
111220295a4a6
12603701a001
132c15685163
14170c992609
15c1e2b7b61
hex73cefc481

31087117441 has 8 divisors (see below), whose sum is σ = 31177397160. Its totient is φ = 30996891648.

The previous prime is 31087117433. The next prime is 31087117493. The reversal of 31087117441 is 14471178013.

It can be written as a sum of positive squares in 4 ways, for example, as 6067786816 + 25019330625 = 77896^2 + 158175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31087117441 - 23 = 31087117433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31087117441.

It is not an unprimeable number, because it can be changed into a prime (31087117241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1333215 + ... + 1356331.

It is an arithmetic number, because the mean of its divisors is an integer number (3897174645).

Almost surely, 231087117441 is an apocalyptic number.

It is an amenable number.

31087117441 is a deficient number, since it is larger than the sum of its proper divisors (90279719).

31087117441 is a wasteful number, since it uses less digits than its factorization.

31087117441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26963.

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 31087117441 in words is "thirty-one billion, eighty-seven million, one hundred seventeen thousand, four hundred forty-one".

Divisors: 1 389 3457 23117 1344773 8992513 79915469 31087117441