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101331232957 is a prime number
BaseRepresentation
bin101111001011111001…
…1111110100010111101
3100200112221120222120001
41132113303332202331
53130011243423312
6114314555554301
710215040161103
oct1362763764275
9320487528501
10101331232957
1139a79926129
121777b75b991
13972b561956
144c93b91c73
152981049057
hex1797cfe8bd

101331232957 has 2 divisors, whose sum is σ = 101331232958. Its totient is φ = 101331232956.

The previous prime is 101331232843. The next prime is 101331232969. The reversal of 101331232957 is 759232133101.

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., 97098299236 + 4232933721 = 311606^2 + 65061^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331232957 - 211 = 101331230909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101331232987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665616478 + 50665616479.

It is an arithmetic number, because the mean of its divisors is an integer number (50665616479).

Almost surely, 2101331232957 is an apocalyptic number.

It is an amenable number.

101331232957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331232957 is an equidigital number, since it uses as much as digits as its factorization.

101331232957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 101331232957 in words is "one hundred one billion, three hundred thirty-one million, two hundred thirty-two thousand, nine hundred fifty-seven".