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233002422113121 = 3333726939508903
BaseRepresentation
bin110100111110101000011010…
…100110100001001101100001
31010112222210222102020012002000
4310332220122212201031201
5221020002430030104441
62143315500210314213
7100035604141624323
oct6476503246411541
91115883872205060
10233002422113121
1168272854a16561
122217151b888969
13a002059c89b4b
14417753d841613
151be0ddb0502b6
hexd3ea1a9a1361

233002422113121 has 32 divisors (see below), whose sum is σ = 346341669323520. Its totient is φ = 154816487384832.

The previous prime is 233002422113117. The next prime is 233002422113141. The reversal of 233002422113121 is 121311224200332.

233002422113121 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 0 + 2 + 422 + 113 + 121 = 666.

It is not a de Polignac number, because 233002422113121 - 22 = 233002422113117 is a prime.

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 (233002422113141) 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, 19749156 + ... + 29258058.

It is an arithmetic number, because the mean of its divisors is an integer number (10823177166360).

Almost surely, 2233002422113121 is an apocalyptic number.

It is an amenable number.

233002422113121 is a deficient number, since it is larger than the sum of its proper divisors (113339247210399).

233002422113121 is a wasteful number, since it uses less digits than its factorization.

233002422113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511942 (or 9511936 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 233002422113121 its reverse (121311224200332), we get a palindrome (354313646313453).

The spelling of 233002422113121 in words is "two hundred thirty-three trillion, two billion, four hundred twenty-two million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 27 337 1011 2693 3033 8079 9099 24237 72711 907541 2722623 8167869 9508903 24503607 28526709 85580127 256740381 3204500311 9613500933 25607475779 28840502799 76822427337 86521508397 230467282011 691401846033 8629719337523 25889158012569 77667474037707 233002422113121