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31102134013 is a prime number
BaseRepresentation
bin11100111101110101…
…001110011011111101
32222021120011010000101
4130331311032123331
51002144121242023
622142122401101
72150511530356
oct347565163375
988246133011
1031102134013
1112210386695
126040060191
132c188121c2
141710980d2d
15c207821ad
hex73dd4e6fd

31102134013 has 2 divisors, whose sum is σ = 31102134014. Its totient is φ = 31102134012.

The previous prime is 31102133927. The next prime is 31102134017. The reversal of 31102134013 is 31043120113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29226637764 + 1875496249 = 170958^2 + 43307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31102134013 is a prime.

It is a super-2 number, since 2×311021340132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31102134017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15551067006 + 15551067007.

It is an arithmetic number, because the mean of its divisors is an integer number (15551067007).

Almost surely, 231102134013 is an apocalyptic number.

It is an amenable number.

31102134013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31102134013 is an equidigital number, since it uses as much as digits as its factorization.

31102134013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31102134013 its reverse (31043120113), we get a palindrome (62145254126).

The spelling of 31102134013 in words is "thirty-one billion, one hundred two million, one hundred thirty-four thousand, thirteen".