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330131233221023 = 13173186355836971
BaseRepresentation
bin100101100010000001010101…
…0111000101010100110011111
31121021220020102021002201011202
41023010002222320222212133
5321232332231201033043
63130044110030510115
7126352123500144233
oct11304025270524637
91537806367081152
10330131233221023
119620a962716933
123103978a06533b
131122931b072170
145b74618d885c3
15282770e89a1b8
hex12c40aae2a99f

330131233221023 has 32 divisors (see below), whose sum is σ = 389032711667712. Its totient is φ = 277237256486400.

The previous prime is 330131233220977. The next prime is 330131233221029. The reversal of 330131233221023 is 320122332131033.

It is a cyclic number.

It is not a de Polignac number, because 330131233221023 - 236 = 330062513744287 is a prime.

It is a super-2 number, since 2×3301312332210232 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330131233221029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22006073 + ... + 33830898.

It is an arithmetic number, because the mean of its divisors is an integer number (12157272239616).

Almost surely, 2330131233221023 is an apocalyptic number.

330131233221023 is a deficient number, since it is larger than the sum of its proper divisors (58901478446689).

330131233221023 is a wasteful number, since it uses less digits than its factorization.

330131233221023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55837895.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 330131233221023 its reverse (320122332131033), we get a palindrome (650253565352056).

The spelling of 330131233221023 in words is "three hundred thirty trillion, one hundred thirty-one billion, two hundred thirty-three million, two hundred twenty-one thousand, twenty-three".

Divisors: 1 13 17 31 221 403 527 863 6851 11219 14671 26753 190723 347789 454801 5912413 55836971 725880623 949228507 1730946101 12339970591 22502299313 29426083717 48187305973 382539088321 626434977649 819184201541 1493806485163 10649394620033 19419484307119 25394710247771 330131233221023