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233204353012053 = 3271473362536829
BaseRepresentation
bin110101000001100100011110…
…100111110001000101010101
31010120201010012022211200221200
4311001210132213301011111
5221031310003332341203
62143552333434303113
7100056313160142303
oct6501443647610525
91116633168750850
10233204353012053
11683404577176a5
12221a4695b87a99
13a0180cb33aa67
144183218151273
151be62a8c879a3
hexd4191e9f1155

233204353012053 has 12 divisors (see below), whose sum is σ = 336855446036460. Its totient is φ = 155467393024896.

The previous prime is 233204353012027. The next prime is 233204353012067. The reversal of 233204353012053 is 350210353402332.

233204353012053 is a `hidden beast` number, since 2 + 3 + 3 + 20 + 43 + 530 + 12 + 0 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 173998207142244 + 59206145869809 = 13190838^2 + 7694553^2 .

It is not a de Polignac number, because 233204353012053 - 29 = 233204353011541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233204353011999 and 233204353012017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233204353012453) 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 11 ways as a sum of consecutive naturals, for example, 180625158 + ... + 181911671.

It is an arithmetic number, because the mean of its divisors is an integer number (28071287169705).

Almost surely, 2233204353012053 is an apocalyptic number.

It is an amenable number.

233204353012053 is a deficient number, since it is larger than the sum of its proper divisors (103651093024407).

233204353012053 is a wasteful number, since it uses less digits than its factorization.

233204353012053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362608308 (or 362608305 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The spelling of 233204353012053 in words is "two hundred thirty-three trillion, two hundred four billion, three hundred fifty-three million, twelve thousand, fifty-three".

Divisors: 1 3 9 71473 214419 643257 362536829 1087610487 3262831461 25911594779117 77734784337351 233204353012053