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31021012129 is a prime number
BaseRepresentation
bin11100111000111111…
…110001010010100001
32222001220111200201011
4130320333301102201
51002012334342004
622130103540521
72145505152412
oct347077612241
988056450634
1031021012129
1112179609608
126018a5a741
132c04a7b2a3
141703ca5809
15c185ab004
hex738ff14a1

31021012129 has 2 divisors, whose sum is σ = 31021012130. Its totient is φ = 31021012128.

The previous prime is 31021012063. The next prime is 31021012133. The reversal of 31021012129 is 92121012013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25880122129 + 5140890000 = 160873^2 + 71700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31021012129 is a prime.

It is a super-2 number, since 2×310210121292 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31021012189) 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 as a sum of consecutive naturals, namely, 15510506064 + 15510506065.

It is an arithmetic number, because the mean of its divisors is an integer number (15510506065).

Almost surely, 231021012129 is an apocalyptic number.

It is an amenable number.

31021012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31021012129 is an equidigital number, since it uses as much as digits as its factorization.

31021012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 31021012129 in words is "thirty-one billion, twenty-one million, twelve thousand, one hundred twenty-nine".