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232400312011 = 7196192822893
BaseRepresentation
bin1101100001110000100…
…0110101011011001011
3211012212101012001221101
43120130020311123023
512301423434441021
6254432505122231
722535045026030
oct3303410653313
9735771161841
10232400312011
118a618a1016a
123905a489377
1318bb8a7bc2a
14b36922b387
1560a2b86a91
hex361c2356cb

232400312011 has 16 divisors (see below), whose sum is σ = 280031084800. Its totient is φ = 188411103648.

The previous prime is 232400311939. The next prime is 232400312033. The reversal of 232400312011 is 110213004232.

It is a happy number.

232400312011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 232400312011 - 233 = 223810377419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232400312011.

It is not an unprimeable number, because it can be changed into a prime (232400313011) 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 15 ways as a sum of consecutive naturals, for example, 1329120 + ... + 1493773.

It is an arithmetic number, because the mean of its divisors is an integer number (17501942800).

Almost surely, 2232400312011 is an apocalyptic number.

232400312011 is a deficient number, since it is larger than the sum of its proper divisors (47630772789).

232400312011 is a wasteful number, since it uses less digits than its factorization.

232400312011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823538.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 232400312011 its reverse (110213004232), we get a palindrome (342613316243).

The spelling of 232400312011 in words is "two hundred thirty-two billion, four hundred million, three hundred twelve thousand, eleven".

Divisors: 1 7 19 133 619 4333 11761 82327 2822893 19760251 53634967 375444769 1747370767 12231595369 33200044573 232400312011