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233200012122121 = 11291315580416189
BaseRepresentation
bin110101000001100000011011…
…111000100101100000001001
31010120200200222210200122102111
4311001200123320211200021
5221031222111100401441
62143550335010102321
7100056100460163442
oct6501403370454011
91116620883618374
10233200012122121
116833962a370860
12221a388427a9a1
13a017888c02935
144182d258222c9
151be6102b28081
hexd4181be25809

233200012122121 has 16 divisors (see below), whose sum is σ = 265181377348800. Its totient is φ = 203127149243200.

The previous prime is 233200012122101. The next prime is 233200012122137. The reversal of 233200012122121 is 121221210002332.

It is a cyclic number.

It is not a de Polignac number, because 233200012122121 - 217 = 233200011991049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233200012122092 and 233200012122101.

It is not an unprimeable number, because it can be changed into a prime (233200012122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790166306 + ... + 2790249883.

It is an arithmetic number, because the mean of its divisors is an integer number (16573836084300).

Almost surely, 2233200012122121 is an apocalyptic number.

It is an amenable number.

233200012122121 is a deficient number, since it is larger than the sum of its proper divisors (31981365226679).

233200012122121 is a wasteful number, since it uses less digits than its factorization.

233200012122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580416360.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 233200012122121 its reverse (121221210002332), we get a palindrome (354421222124453).

The spelling of 233200012122121 in words is "two hundred thirty-three trillion, two hundred billion, twelve million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 11 29 131 319 1441 3799 41789 5580416189 61384578079 161832069481 731034520759 1780152764291 8041379728349 21200001102011 233200012122121