Search a number
-
+
23137201 is a prime number
BaseRepresentation
bin101100001000…
…0101110110001
31121112111021101
41120100232301
521410342301
62143524401
7400443253
oct130205661
947474241
1023137201
111207335a
1278b9701
134a41369
143103cd3
152070701
hex1610bb1

23137201 has 2 divisors, whose sum is σ = 23137202. Its totient is φ = 23137200.

The previous prime is 23137171. The next prime is 23137211. The reversal of 23137201 is 10273132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17139600 + 5997601 = 4140^2 + 2449^2 .

It is a cyclic number.

It is not a de Polignac number, because 23137201 - 27 = 23137073 is a prime.

It is a super-2 number, since 2×231372012 = 1070660140228802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23137211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11568600 + 11568601.

It is an arithmetic number, because the mean of its divisors is an integer number (11568601).

Almost surely, 223137201 is an apocalyptic number.

It is an amenable number.

23137201 is a deficient number, since it is larger than the sum of its proper divisors (1).

23137201 is an equidigital number, since it uses as much as digits as its factorization.

23137201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 23137201 is about 4810.1144477029. The cubic root of 23137201 is about 284.9510575647.

The spelling of 23137201 in words is "twenty-three million, one hundred thirty-seven thousand, two hundred one".