Search a number
-
+
23025643732601 is a prime number
BaseRepresentation
bin1010011110001000100110…
…10100001011111001111001
310000112020012200221101000222
411033010103110023321321
511004223004243420401
6120545500143505425
74564355626301546
oct517042324137171
9100466180841028
1023025643732601
117378136678654
1226ba6355b8275
13cb04028184c3
14598638bc9bcd
1529de3aa57c1b
hex14f11350be79

23025643732601 has 2 divisors, whose sum is σ = 23025643732602. Its totient is φ = 23025643732600.

The previous prime is 23025643732579. The next prime is 23025643732603. The reversal of 23025643732601 is 10623734652032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15422499268201 + 7603144464400 = 3927149^2 + 2757380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23025643732601 is a prime.

Together with 23025643732603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (23025643732603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11512821866300 + 11512821866301.

It is an arithmetic number, because the mean of its divisors is an integer number (11512821866301).

Almost surely, 223025643732601 is an apocalyptic number.

It is an amenable number.

23025643732601 is a deficient number, since it is larger than the sum of its proper divisors (1).

23025643732601 is an equidigital number, since it uses as much as digits as its factorization.

23025643732601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 44.

The spelling of 23025643732601 in words is "twenty-three trillion, twenty-five billion, six hundred forty-three million, seven hundred thirty-two thousand, six hundred one".