Search a number
-
+
23225775229201 is a prime number
BaseRepresentation
bin1010100011111101011000…
…00101010000100100010001
310001020100210012122202221211
411101332230011100210101
511021012341424313301
6121221435052220121
74615002235041556
oct521765405204421
9101210705582854
1023225775229201
117444aa5693126
12273138916a641
13cc62481583cc
145a41c253aa2d
152a4250804051
hex151fac150911

23225775229201 has 2 divisors, whose sum is σ = 23225775229202. Its totient is φ = 23225775229200.

The previous prime is 23225775229187. The next prime is 23225775229213. The reversal of 23225775229201 is 10292257752232.

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., 20387022009601 + 2838753219600 = 4515199^2 + 1684860^2 .

It is a cyclic number.

It is not a de Polignac number, because 23225775229201 - 25 = 23225775229169 is a prime.

It is not a weakly prime, because it can be changed into another prime (23225775229271) 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, 11612887614600 + 11612887614601.

It is an arithmetic number, because the mean of its divisors is an integer number (11612887614601).

Almost surely, 223225775229201 is an apocalyptic number.

It is an amenable number.

23225775229201 is a deficient number, since it is larger than the sum of its proper divisors (1).

23225775229201 is an equidigital number, since it uses as much as digits as its factorization.

23225775229201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 23225775229201 in words is "twenty-three trillion, two hundred twenty-five billion, seven hundred seventy-five million, two hundred twenty-nine thousand, two hundred one".