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10672131881 is a prime number
BaseRepresentation
bin10011111000001101…
…11100111100101001
31000112202111110201202
421330012330330221
5133324031210011
64522552453545
7525315424055
oct117406747451
930482443652
1010672131881
11458715a704
12209a0aa2b5
131011020048
14733524c65
15426dc823b
hex27c1bcf29

10672131881 has 2 divisors, whose sum is σ = 10672131882. Its totient is φ = 10672131880.

The previous prime is 10672131829. The next prime is 10672131913. The reversal of 10672131881 is 18813127601.

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., 7256313856 + 3415818025 = 85184^2 + 58445^2 .

It is a cyclic number.

It is not a de Polignac number, because 10672131881 - 218 = 10671869737 is a prime.

It is a super-2 number, since 2×106721318812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10672131181) 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, 5336065940 + 5336065941.

It is an arithmetic number, because the mean of its divisors is an integer number (5336065941).

Almost surely, 210672131881 is an apocalyptic number.

It is an amenable number.

10672131881 is a deficient number, since it is larger than the sum of its proper divisors (1).

10672131881 is an equidigital number, since it uses as much as digits as its factorization.

10672131881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 38.

The spelling of 10672131881 in words is "ten billion, six hundred seventy-two million, one hundred thirty-one thousand, eight hundred eighty-one".