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31102011137 is a prime number
BaseRepresentation
bin11100111101110100…
…110000011100000001
32222021112220212110102
4130331310300130001
51002144103324022
622142120012145
72150510506211
oct347564603401
988245825412
1031102011137
111221030233a
126040001055
132c1879b2b2
14171094c241
15c2075aa92
hex73dd30701

31102011137 has 2 divisors, whose sum is σ = 31102011138. Its totient is φ = 31102011136.

The previous prime is 31102011121. The next prime is 31102011163. The reversal of 31102011137 is 73111020113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20804023696 + 10297987441 = 144236^2 + 101479^2 .

It is a cyclic number.

It is not a de Polignac number, because 31102011137 - 24 = 31102011121 is a prime.

It is not a weakly prime, because it can be changed into another prime (31102011167) 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 as a sum of consecutive naturals, namely, 15551005568 + 15551005569.

It is an arithmetic number, because the mean of its divisors is an integer number (15551005569).

Almost surely, 231102011137 is an apocalyptic number.

It is an amenable number.

31102011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31102011137 is an equidigital number, since it uses as much as digits as its factorization.

31102011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

The spelling of 31102011137 in words is "thirty-one billion, one hundred two million, eleven thousand, one hundred thirty-seven".