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10670767013 is a prime number
BaseRepresentation
bin10011111000000011…
…01111101110100101
31000112122221010111002
421330001233232211
5133323204021023
64522503323045
7525301010624
oct117401575645
930478833432
1010670767013
114586408215
122099750485
131010962a2a
1473328b6bb
15426c08b28
hex27c06fba5

10670767013 has 2 divisors, whose sum is σ = 10670767014. Its totient is φ = 10670767012.

The previous prime is 10670766973. The next prime is 10670767049. The reversal of 10670767013 is 31076707601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6031386244 + 4639380769 = 77662^2 + 68113^2 .

It is an emirp because it is prime and its reverse (31076707601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10670767013 - 230 = 9597025189 is a prime.

It is a super-2 number, since 2×106707670132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10670760013) 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, 5335383506 + 5335383507.

It is an arithmetic number, because the mean of its divisors is an integer number (5335383507).

Almost surely, 210670767013 is an apocalyptic number.

It is an amenable number.

10670767013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10670767013 is an equidigital number, since it uses as much as digits as its factorization.

10670767013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044, while the sum is 38.

The spelling of 10670767013 in words is "ten billion, six hundred seventy million, seven hundred sixty-seven thousand, thirteen".