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230200113332133 = 3278389694908433
BaseRepresentation
bin110100010101110110100011…
…111110110111111110100101
31010012001220201200212101000100
4310111312203332313332211
5220133044313003112013
62133332245551534313
766326260256201310
oct6425664376677645
91105056650771010
10230200113332133
116739235774271a
122199a3a822a399
139b5aa1534b219
1440bba60153977
151b93077227473
hexd15da3fb7fa5

230200113332133 has 48 divisors (see below), whose sum is σ = 384634312433280. Its totient is φ = 129943551255552.

The previous prime is 230200113332131. The next prime is 230200113332153. The reversal of 230200113332133 is 331233311002032.

230200113332133 is a `hidden beast` number, since 2 + 3 + 0 + 200 + 1 + 133 + 321 + 3 + 3 = 666.

It is not a de Polignac number, because 230200113332133 - 21 = 230200113332131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230200113332097 and 230200113332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230200113332131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44444685 + ... + 49353117.

It is an arithmetic number, because the mean of its divisors is an integer number (8013214842360).

Almost surely, 2230200113332133 is an apocalyptic number.

It is an amenable number.

230200113332133 is a deficient number, since it is larger than the sum of its proper divisors (154434199101147).

230200113332133 is a wasteful number, since it uses less digits than its factorization.

230200113332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917498 (or 4917495 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 230200113332133 its reverse (331233311002032), we get a palindrome (561433424334165).

The spelling of 230200113332133 in words is "two hundred thirty trillion, two hundred billion, one hundred thirteen million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 5229 8969 26907 62783 80721 188349 565047 744427 2233281 4908433 5210989 6699843 14725299 15632967 34359031 44175897 46898901 103077093 309231279 407399939 1222199817 2851799573 3666599451 8555398719 25666196157 44023735577 132071206731 308166149039 396213620193 924498447117 2773495341351 3653970052891 10961910158673 25577790370237 32885730476019 76733371110711 230200113332133