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233012121313213 = 11210756331966933
BaseRepresentation
bin110100111110110001011100…
…101110000001111110111101
31010120000202000100222121022001
4310332301130232001332331
5221020132311024010323
62143324142450022301
7100036366404515524
oct6476613456017675
91116022010877261
10233012121313213
1168276981960100
1222173387b77991
13a002c445593b8
144177bbda634bb
151be12a77e23ad
hexd3ec5cb81fbd

233012121313213 has 24 divisors (see below), whose sum is σ = 258973594546464. Its totient is φ = 209476748041440.

The previous prime is 233012121313187. The next prime is 233012121313219. The reversal of 233012121313213 is 312313121210332.

It is a de Polignac number, because none of the positive numbers 2k-233012121313213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233012121313219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8694306 + ... + 23272627.

It is an arithmetic number, because the mean of its divisors is an integer number (10790566439436).

Almost surely, 2233012121313213 is an apocalyptic number.

It is an amenable number.

233012121313213 is a deficient number, since it is larger than the sum of its proper divisors (25961473233251).

233012121313213 is a wasteful number, since it uses less digits than its factorization.

233012121313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31967625 (or 31967614 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 233012121313213 its reverse (312313121210332), we get a palindrome (545325242523545).

The spelling of 233012121313213 in words is "two hundred thirty-three trillion, twelve billion, one hundred twenty-one million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 11 107 121 563 1177 6193 12947 60241 68123 662651 7289161 31966933 351636263 3420461831 3867998893 17997383279 37625080141 197971216069 413875881551 1925720010853 2177683376759 21182920119383 233012121313213