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331164157 is a prime number
BaseRepresentation
bin10011101111010…
…010100111111101
3212002010212211011
4103233102213331
51134234223112
652505555221
711130564112
oct2357224775
9762125734
10331164157
1115aa2a595
1292aa5b11
13537bc92c
1431da6909
151e117aa7
hex13bd29fd

331164157 has 2 divisors, whose sum is σ = 331164158. Its totient is φ = 331164156.

The previous prime is 331164149. The next prime is 331164191. The reversal of 331164157 is 751461133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178863876 + 152300281 = 13374^2 + 12341^2 .

It is a cyclic number.

It is not a de Polignac number, because 331164157 - 23 = 331164149 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331144157) 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, 165582078 + 165582079.

It is an arithmetic number, because the mean of its divisors is an integer number (165582079).

Almost surely, 2331164157 is an apocalyptic number.

It is an amenable number.

331164157 is a deficient number, since it is larger than the sum of its proper divisors (1).

331164157 is an equidigital number, since it uses as much as digits as its factorization.

331164157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 331164157 is about 18197.9162818164. The cubic root of 331164157 is about 691.8539771468.

It can be divided in two parts, 33116 and 4157, that added together give a palindrome (37273).

The spelling of 331164157 in words is "three hundred thirty-one million, one hundred sixty-four thousand, one hundred fifty-seven".