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330312312010117 is a prime number
BaseRepresentation
bin100101100011010101101010…
…0000001011011010110000101
31121022112112210221210021212001
41023012223110001123112011
5321243314103333310432
63130303214205425301
7126401164005356113
oct11306532401332605
91538475727707761
10330312312010117
119627a7349a6248
12310688a4b6b231
131124041834ba48
145b7d2b6160ab3
15282c2abb499e7
hex12c6ad405b585

330312312010117 has 2 divisors, whose sum is σ = 330312312010118. Its totient is φ = 330312312010116.

The previous prime is 330312312010073. The next prime is 330312312010127. The reversal of 330312312010117 is 711010213213033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256197189957921 + 74115122052196 = 16006161^2 + 8609014^2 .

It is a cyclic number.

It is not a de Polignac number, because 330312312010117 - 27 = 330312312009989 is a prime.

It is a super-2 number, since 2×3303123120101172 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330312312010127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165156156005058 + 165156156005059.

It is an arithmetic number, because the mean of its divisors is an integer number (165156156005059).

Almost surely, 2330312312010117 is an apocalyptic number.

It is an amenable number.

330312312010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

330312312010117 is an equidigital number, since it uses as much as digits as its factorization.

330312312010117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 28.

The spelling of 330312312010117 in words is "three hundred thirty trillion, three hundred twelve billion, three hundred twelve million, ten thousand, one hundred seventeen".