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230023212133311 = 32269629915083609
BaseRepresentation
bin110100010011010001110011…
…110110010110101110111111
31010011110000010011001100211200
4310103101303312112232333
5220122200014301231221
62133115112125150543
766310425425624052
oct6423216366265677
91104400104040750
10230023212133311
1167324329613753
12219700583bb453
139b4713270214c
1440b327bb1ca99
151b8d671acc426
hexd13473d96bbf

230023212133311 has 24 divisors (see below), whose sum is σ = 333543867930000. Its totient is φ = 152754473599872.

The previous prime is 230023212133303. The next prime is 230023212133361. The reversal of 230023212133311 is 113331212320032.

230023212133311 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 3 + 212 + 133 + 311 = 666.

It is not a de Polignac number, because 230023212133311 - 23 = 230023212133303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230023212133361) 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, 7708075 + ... + 22791683.

It is an arithmetic number, because the mean of its divisors is an integer number (13897661163750).

Almost surely, 2230023212133311 is an apocalyptic number.

230023212133311 is a deficient number, since it is larger than the sum of its proper divisors (103520655796689).

230023212133311 is a wasteful number, since it uses less digits than its factorization.

230023212133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15090183 (or 15090180 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 230023212133311 its reverse (113331212320032), we get a palindrome (343354424453343).

The spelling of 230023212133311 in words is "two hundred thirty trillion, twenty-three billion, two hundred twelve million, one hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 9 269 807 2421 6299 18897 56691 1694431 5083293 15083609 15249879 45250827 135752481 4057490821 12172472463 36517417389 95011653091 285034959273 855104877819 25558134681479 76674404044437 230023212133311