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10132418977 is a prime number
BaseRepresentation
bin10010110111111000…
…00111000110100001
3222011010221012210221
421123330013012201
5131222344401402
64353232523041
7506043066052
oct113374070641
928133835727
1010132418977
11432a53938a
121b693b0481
13c56271cb5
146c1992729
153e4818337
hex25bf071a1

10132418977 has 2 divisors, whose sum is σ = 10132418978. Its totient is φ = 10132418976.

The previous prime is 10132418921. The next prime is 10132418983. The reversal of 10132418977 is 77981423101.

10132418977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5934545296 + 4197873681 = 77036^2 + 64791^2 .

It is an emirp because it is prime and its reverse (77981423101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10132418977 - 223 = 10124030369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10132418917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066209488 + 5066209489.

It is an arithmetic number, because the mean of its divisors is an integer number (5066209489).

Almost surely, 210132418977 is an apocalyptic number.

It is an amenable number.

10132418977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132418977 is an equidigital number, since it uses as much as digits as its factorization.

10132418977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 10132418977 in words is "ten billion, one hundred thirty-two million, four hundred eighteen thousand, nine hundred seventy-seven".