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230021313131313 = 32112638834401549
BaseRepresentation
bin110100010011010000000010…
…101010001111001100110001
31010011102211012210202001211100
4310103100002222033030301
5220122132122130200223
62133114155451035013
766310330366442064
oct6423200252171461
91104384183661740
10230021313131313
116732354468a410
122196b80843ba69
139b46bbc15a922
1440b313b8348db
151b8d5b001a043
hexd13402a8f331

230021313131313 has 24 divisors (see below), whose sum is σ = 363835993435200. Its totient is φ = 138876792334560.

The previous prime is 230021313131303. The next prime is 230021313131359. The reversal of 230021313131313 is 313131313120032.

230021313131313 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 1 + 31 + 313 + 1 + 313 = 666.

It is not a de Polignac number, because 230021313131313 - 26 = 230021313131249 is a prime.

It is a super-2 number, since 2×2300213131313132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230021313131303) 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, 4417174738 + ... + 4417226811.

It is an arithmetic number, because the mean of its divisors is an integer number (15159833059800).

Almost surely, 2230021313131313 is an apocalyptic number.

It is an amenable number.

230021313131313 is a deficient number, since it is larger than the sum of its proper divisors (133814680303887).

230021313131313 is a wasteful number, since it uses less digits than its factorization.

230021313131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8834401829 (or 8834401826 counting only the distinct ones).

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

Adding to 230021313131313 its reverse (313131313120032), we get a palindrome (543152626251345).

The spelling of 230021313131313 in words is "two hundred thirty trillion, twenty-one billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 99 263 789 2367 2893 8679 26037 8834401549 26503204647 79509613941 97178417039 291535251117 874605753351 2323447607387 6970342822161 20911028466483 25557923681257 76673771043771 230021313131313