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233313031231 = 7298631331779
BaseRepresentation
bin1101100101001010001…
…0100101010000111111
3211022012222122000022221
43121102202211100333
512310311113444411
6255103231550211
722566500021020
oct3312242452077
9738188560287
10233313031231
118aa4713a675
123927408b367
1319002ba9a87
14b414538c47
156107d77071
hex36528a543f

233313031231 has 16 divisors (see below), whose sum is σ = 276157900800. Its totient is φ = 192862762848.

The previous prime is 233313031223. The next prime is 233313031247. The reversal of 233313031231 is 132130313332.

233313031231 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 233313031231 - 23 = 233313031223 is a prime.

It is a super-2 number, since 2×2333130312312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233313031196 and 233313031205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233313071231) 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, 490701 + ... + 841078.

It is an arithmetic number, because the mean of its divisors is an integer number (17259868800).

Almost surely, 2233313031231 is an apocalyptic number.

233313031231 is a deficient number, since it is larger than the sum of its proper divisors (42844869569).

233313031231 is a wasteful number, since it uses less digits than its factorization.

233313031231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332678.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 233313031231 its reverse (132130313332), we get a palindrome (365443344563).

The spelling of 233313031231 in words is "two hundred thirty-three billion, three hundred thirteen million, thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 29 203 863 6041 25027 175189 1331779 9322453 38621591 270351137 1149325277 8045276939 33330433033 233313031231