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106031465213 is a prime number
BaseRepresentation
bin110001010111111110…
…1111100001011111101
3101010200111220112002012
41202233331330023331
53214123023341323
6120413222141005
710442362404122
oct1425775741375
9333614815065
10106031465213
1140a70aa81a3
1218671881765
139cca27437b
1451bc100749
152b589da678
hex18aff7c2fd

106031465213 has 2 divisors, whose sum is σ = 106031465214. Its totient is φ = 106031465212.

The previous prime is 106031465173. The next prime is 106031465231. The reversal of 106031465213 is 312564130601.

Together with next prime (106031465231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85169418244 + 20862046969 = 291838^2 + 144437^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106031465213 is a prime.

It is a super-2 number, since 2×1060314652132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106031465213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106031465273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53015732606 + 53015732607.

It is an arithmetic number, because the mean of its divisors is an integer number (53015732607).

Almost surely, 2106031465213 is an apocalyptic number.

It is an amenable number.

106031465213 is a deficient number, since it is larger than the sum of its proper divisors (1).

106031465213 is an equidigital number, since it uses as much as digits as its factorization.

106031465213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 106031465213 its reverse (312564130601), we get a palindrome (418595595814).

The spelling of 106031465213 in words is "one hundred six billion, thirty-one million, four hundred sixty-five thousand, two hundred thirteen".