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233020330131 = 31783550110007
BaseRepresentation
bin1101100100000100011…
…0000001000010010011
3211021110120212020220110
43121001012001002103
512304211201031011
6255014214212403
722556314061031
oct3310106010223
9737416766813
10233020330131
118a9069a0a36
12391b2054103
1318c87366264
14b3c7705551
1560dc30aba6
hex3641181093

233020330131 has 32 divisors (see below), whose sum is σ = 333027168768. Its totient is φ = 144406592000.

The previous prime is 233020330129. The next prime is 233020330177. The reversal of 233020330131 is 131033020332.

It is a cyclic number.

It is not a de Polignac number, because 233020330131 - 21 = 233020330129 is a prime.

It is a super-2 number, since 2×2330203301312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233020330098 and 233020330107.

It is not an unprimeable number, because it can be changed into a prime (233020330831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23280730 + ... + 23290736.

It is an arithmetic number, because the mean of its divisors is an integer number (10407099024).

Almost surely, 2233020330131 is an apocalyptic number.

233020330131 is a deficient number, since it is larger than the sum of its proper divisors (100006838637).

233020330131 is a wasteful number, since it uses less digits than its factorization.

233020330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15611.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 233020330131 its reverse (131033020332), we get a palindrome (364053350463).

The spelling of 233020330131 in words is "two hundred thirty-three billion, twenty million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 17 51 83 249 1411 4233 5501 10007 16503 30021 93517 170119 280551 456583 510357 830581 1369749 2491743 7761911 14119877 23285733 42359631 55048507 165145521 935824619 2807473857 4569026081 13707078243 77673443377 233020330131