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330131203133121 = 3513104504970919
BaseRepresentation
bin100101100010000001010100…
…1000101111000111011000001
31121021220020100011111002100000
41023010002221011320323001
5321232332201000224441
63130044103033550213
7126352122653331345
oct11304025105707301
91537806304432300
10330131203133121
119620a9477363a5
123103977bb75369
1311229314a69180
145b74614d95625
15282770be052b6
hex12c40a9178ec1

330131203133121 has 24 divisors (see below), whose sum is σ = 532557331808320. Its totient is φ = 203157663464592.

The previous prime is 330131203133101. The next prime is 330131203133177. The reversal of 330131203133121 is 121331302131033.

330131203133121 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 31 + 2 + 0 + 313 + 312 + 1 = 666.

It is not a de Polignac number, because 330131203133121 - 211 = 330131203131073 is a prime.

It is a super-2 number, since 2×3301312031331212 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (330131203133101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52252482301 + ... + 52252488618.

Almost surely, 2330131203133121 is an apocalyptic number.

It is an amenable number.

330131203133121 is a deficient number, since it is larger than the sum of its proper divisors (202426128675199).

330131203133121 is a wasteful number, since it uses less digits than its factorization.

330131203133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104504970947 (or 104504970935 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 330131203133121 its reverse (121331302131033), we get a palindrome (451462505264154).

The spelling of 330131203133121 in words is "three hundred thirty trillion, one hundred thirty-one billion, two hundred three million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 104504970919 313514912757 940544738271 1358564621947 2821634214813 4075693865841 8464902644439 12227081597523 25394707933317 36681244792569 110043734377707 330131203133121