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331332313157 is a prime number
BaseRepresentation
bin1001101001001001111…
…00011110000001000101
31011200020010012110011222
410310210330132001011
520412032033010112
6412113441210125
732636503123166
oct4644474360105
91150203173158
10331332313157
111185764a898a
125426a630945
1325324233791
14120724bd76d
15894325c372
hex4d24f1e045

331332313157 has 2 divisors, whose sum is σ = 331332313158. Its totient is φ = 331332313156.

The previous prime is 331332313093. The next prime is 331332313163. The reversal of 331332313157 is 751313233133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249874015876 + 81458297281 = 499874^2 + 285409^2 .

It is a cyclic number.

It is not a de Polignac number, because 331332313157 - 26 = 331332313093 is a prime.

It is a super-2 number, since 2×3313323131572 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331332343157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165666156578 + 165666156579.

It is an arithmetic number, because the mean of its divisors is an integer number (165666156579).

Almost surely, 2331332313157 is an apocalyptic number.

It is an amenable number.

331332313157 is a deficient number, since it is larger than the sum of its proper divisors (1).

331332313157 is an equidigital number, since it uses as much as digits as its factorization.

331332313157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51030, while the sum is 35.

The spelling of 331332313157 in words is "three hundred thirty-one billion, three hundred thirty-two million, three hundred thirteen thousand, one hundred fifty-seven".