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230382000351 = 3243373979997
BaseRepresentation
bin1101011010001111010…
…1100101100011011111
3211000122201101012211200
43112203311211203133
512233310243002401
6253500325450543
722434036456336
oct3264365454337
9730581335750
10230382000351
11897826a67a8
1238796570a53
1318956892a89
14b217166d1d
155ed58a8686
hex35a3d658df

230382000351 has 24 divisors (see below), whose sum is σ = 333998049840. Its totient is φ = 153024028416.

The previous prime is 230382000337. The next prime is 230382000371. The reversal of 230382000351 is 153000283032.

230382000351 is a `hidden beast` number, since 2 + 303 + 8 + 2 + 0 + 0 + 0 + 351 = 666.

It is not a de Polignac number, because 230382000351 - 211 = 230381998303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230382000301) 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 23 ways as a sum of consecutive naturals, for example, 2839885 + ... + 2919881.

It is an arithmetic number, because the mean of its divisors is an integer number (13916585410).

Almost surely, 2230382000351 is an apocalyptic number.

230382000351 is the 239991-st decagonal number.

230382000351 is a deficient number, since it is larger than the sum of its proper divisors (103616049489).

230382000351 is a wasteful number, since it uses less digits than its factorization.

230382000351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81175 (or 81172 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 230382000351 its reverse (153000283032), we get a palindrome (383382283383).

The spelling of 230382000351 in words is "two hundred thirty billion, three hundred eighty-two million, three hundred fifty-one", and thus it is an aban number.

Divisors: 1 3 9 433 739 1299 2217 3897 6651 79997 239991 319987 719973 959961 2879883 34638701 59117783 103916103 177353349 311748309 532060047 25598000039 76794000117 230382000351