Search a number
-
+
23201132137 is a prime number
BaseRepresentation
bin10101100110111001…
…010010111001101001
32012212221000122000021
4111212321102321221
5340003442212022
614354120440441
71450642240441
oct254671227151
965787018007
1023201132137
119926485a77
1245b6019121
132259951871
1411a14c7121
1590bcde7c7
hex566e52e69

23201132137 has 2 divisors, whose sum is σ = 23201132138. Its totient is φ = 23201132136.

The previous prime is 23201132099. The next prime is 23201132147. The reversal of 23201132137 is 73123110232.

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., 21408371856 + 1792760281 = 146316^2 + 42341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23201132137 is a prime.

It is not a weakly prime, because it can be changed into another prime (23201132147) 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, 11600566068 + 11600566069.

It is an arithmetic number, because the mean of its divisors is an integer number (11600566069).

Almost surely, 223201132137 is an apocalyptic number.

It is an amenable number.

23201132137 is a deficient number, since it is larger than the sum of its proper divisors (1).

23201132137 is an equidigital number, since it uses as much as digits as its factorization.

23201132137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 23201132137 its reverse (73123110232), we get a palindrome (96324242369).

The spelling of 23201132137 in words is "twenty-three billion, two hundred one million, one hundred thirty-two thousand, one hundred thirty-seven".