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10120039967 is a prime number
BaseRepresentation
bin10010110110011001…
…11000111000011111
3222010021122022000002
421123030320320133
5131211212234332
64352111324515
7505532630462
oct113314707037
928107568002
1010120039967
1143235538a4
121b6522073b
13c5382963b
146c008d2d9
153e36c0562
hex25b338e1f

10120039967 has 2 divisors, whose sum is σ = 10120039968. Its totient is φ = 10120039966.

The previous prime is 10120039957. The next prime is 10120040057. The reversal of 10120039967 is 76993002101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10120039967 - 214 = 10120023583 is a prime.

It is a super-2 number, since 2×101200399672 (a number of 21 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 10120039967.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120039957) 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, 5060019983 + 5060019984.

It is an arithmetic number, because the mean of its divisors is an integer number (5060019984).

Almost surely, 210120039967 is an apocalyptic number.

10120039967 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120039967 is an equidigital number, since it uses as much as digits as its factorization.

10120039967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 38.

The spelling of 10120039967 in words is "ten billion, one hundred twenty million, thirty-nine thousand, nine hundred sixty-seven".