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10023617977 is a prime number
BaseRepresentation
bin10010101010111010…
…00100010110111001
3221212120012112220021
421111131010112321
5131012021233402
64334344530441
7503252230012
oct112535042671
927776175807
1010023617977
1142840865aa
121b38a80a21
13c398695c9
146b1350009
153d9ec5d37
hex2557445b9

10023617977 has 2 divisors, whose sum is σ = 10023617978. Its totient is φ = 10023617976.

The previous prime is 10023617957. The next prime is 10023617987. The reversal of 10023617977 is 77971632001.

10023617977 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., 8680835241 + 1342782736 = 93171^2 + 36644^2 .

It is an emirp because it is prime and its reverse (77971632001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10023617977 - 227 = 9889400249 is a prime.

It is not a weakly prime, because it can be changed into another prime (10023617917) 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, 5011808988 + 5011808989.

It is an arithmetic number, because the mean of its divisors is an integer number (5011808989).

Almost surely, 210023617977 is an apocalyptic number.

It is an amenable number.

10023617977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023617977 is an equidigital number, since it uses as much as digits as its factorization.

10023617977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 111132, while the sum is 43.

The spelling of 10023617977 in words is "ten billion, twenty-three million, six hundred seventeen thousand, nine hundred seventy-seven".