Search a number
-
+
10256132801 is a prime number
BaseRepresentation
bin10011000110101000…
…00010101011000001
3222110202201112021102
421203110002223001
5132001032222201
64413412304145
7512104455545
oct114324025301
928422645242
1010256132801
114393357412
121ba2912055
13c75a99445
146d4197a25
1540060426b
hex263502ac1

10256132801 has 2 divisors, whose sum is σ = 10256132802. Its totient is φ = 10256132800.

The previous prime is 10256132773. The next prime is 10256132807. The reversal of 10256132801 is 10823165201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7233332401 + 3022800400 = 85049^2 + 54980^2 .

It is a cyclic number.

It is not a de Polignac number, because 10256132801 - 214 = 10256116417 is a prime.

It is not a weakly prime, because it can be changed into another prime (10256132807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5128066400 + 5128066401.

It is an arithmetic number, because the mean of its divisors is an integer number (5128066401).

Almost surely, 210256132801 is an apocalyptic number.

It is an amenable number.

10256132801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10256132801 is an equidigital number, since it uses as much as digits as its factorization.

10256132801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 10256132801 in words is "ten billion, two hundred fifty-six million, one hundred thirty-two thousand, eight hundred one".