Search a number
-
+
331001137 is a prime number
BaseRepresentation
bin10011101110101…
…010110100110001
3212001211121012101
4103232222310301
51134214014022
652502300401
711126314615
oct2356526461
9761747171
10331001137
1115a929065
1292a27701
135376367c
1431d63345
151e0d4627
hex13baad31

331001137 has 2 divisors, whose sum is σ = 331001138. Its totient is φ = 331001136.

The previous prime is 331001131. The next prime is 331001141. The reversal of 331001137 is 731100133.

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., 324324081 + 6677056 = 18009^2 + 2584^2 .

It is a cyclic number.

It is not a de Polignac number, because 331001137 - 219 = 330476849 is a prime.

It is not a weakly prime, because it can be changed into another prime (331001131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165500568 + 165500569.

It is an arithmetic number, because the mean of its divisors is an integer number (165500569).

Almost surely, 2331001137 is an apocalyptic number.

It is an amenable number.

331001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

331001137 is an equidigital number, since it uses as much as digits as its factorization.

331001137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 331001137 is about 18193.4366462194. The cubic root of 331001137 is about 691.7404337124.

The spelling of 331001137 in words is "three hundred thirty-one million, one thousand, one hundred thirty-seven".