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331023100117 is a prime number
BaseRepresentation
bin1001101000100101000…
…00111010100011010101
31011122102120100210122011
410310102200322203111
520410413403200432
6412023033504221
732626026632353
oct4642240724325
91148376323564
10331023100117
11118427a01616
12541a2b72071
13252a515b398
14120433cc7d3
15892602d847
hex4d1283a8d5

331023100117 has 2 divisors, whose sum is σ = 331023100118. Its totient is φ = 331023100116.

The previous prime is 331023100099. The next prime is 331023100129. The reversal of 331023100117 is 711001320133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183285878161 + 147737221956 = 428119^2 + 384366^2 .

It is a cyclic number.

It is not a de Polignac number, because 331023100117 - 235 = 296663361749 is a prime.

It is a super-2 number, since 2×3310231001172 (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 (331023100157) 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, 165511550058 + 165511550059.

It is an arithmetic number, because the mean of its divisors is an integer number (165511550059).

Almost surely, 2331023100117 is an apocalyptic number.

It is an amenable number.

331023100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

331023100117 is an equidigital number, since it uses as much as digits as its factorization.

331023100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The spelling of 331023100117 in words is "three hundred thirty-one billion, twenty-three million, one hundred thousand, one hundred seventeen".