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230500336311 = 3372942054431
BaseRepresentation
bin1101011010101011100…
…1000000001010110111
3211000221222001022021000
43112222321000022313
512234031041230221
6253520154054343
722440004350210
oct3265271001267
9730858038230
10230500336311
1189833481313
123880a11a3b3
131897525645b
14b228b6c407
155ee0e80e26
hex35aae402b7

230500336311 has 32 divisors (see below), whose sum is σ = 403722547200. Its totient is φ = 127172596320.

The previous prime is 230500336279. The next prime is 230500336337. The reversal of 230500336311 is 113633005032.

It is a happy number.

230500336311 is a `hidden beast` number, since 23 + 0 + 5 + 0 + 0 + 3 + 3 + 631 + 1 = 666.

230500336311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230500336311 - 25 = 230500336279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230500336111) 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 31 ways as a sum of consecutive naturals, for example, 21021735 + ... + 21032696.

It is an arithmetic number, because the mean of its divisors is an integer number (12616329600).

Almost surely, 2230500336311 is an apocalyptic number.

230500336311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230500336311 is a deficient number, since it is larger than the sum of its proper divisors (173222210889).

230500336311 is a wasteful number, since it uses less digits than its factorization.

230500336311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42054476 (or 42054470 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The spelling of 230500336311 in words is "two hundred thirty billion, five hundred million, three hundred thirty-six thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 5481 42054431 126163293 294381017 378489879 883143051 1135469637 1219578499 2649429153 3658735497 7948287459 8537049493 10976206491 25611148479 32928619473 76833445437 230500336311