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230131300032 = 26321723501971
BaseRepresentation
bin1101011001010011100…
…1001111011011000000
3211000000020122022122200
43112110321033123000
512232302103100112
6253415412233200
722424603526534
oct3262471173300
9730006568580
10230131300032
1189664134957
123872660b800
13189169666aa
14b1d1b47bc4
155ebd886cdc
hex3594e4f6c0

230131300032 has 84 divisors (see below), whose sum is σ = 698431603896. Its totient is φ = 72198051840.

The previous prime is 230131299973. The next prime is 230131300073. The reversal of 230131300032 is 230003131032.

230131300032 is a `hidden beast` number, since 2 + 301 + 31 + 300 + 0 + 32 = 666.

230131300032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230131299978 and 230131300014.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11741194 + ... + 11760777.

Almost surely, 2230131300032 is an apocalyptic number.

It is an amenable number.

230131300032 is an abundant number, since it is smaller than the sum of its proper divisors (468300303864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230131300032 is a wasteful number, since it uses less digits than its factorization.

230131300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23502006 (or 23501993 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230131300032 its reverse (230003131032), we get a palindrome (460134431064).

The spelling of 230131300032 in words is "two hundred thirty billion, one hundred thirty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 23501971 47003942 70505913 94007884 141011826 188015768 211517739 282023652 376031536 399533507 423035478 564047304 752063072 799067014 846070956 1128094608 1198600521 1504126144 1598134028 1692141912 2256189216 2397201042 3196268056 3384283824 3595801563 4512378432 4794402084 6392536112 6768567648 7191603126 9588804168 12785072224 13537135296 14383206252 19177608336 25570144448 28766412504 38355216672 57532825008 76710433344 115065650016 230131300032