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231300033013 = 7276911295437
BaseRepresentation
bin1101011101101010001…
…1100110100111110101
3211010000200211002220101
43113122203212213311
512242200302024023
6254131402234101
722465554561400
oct3273243464765
9733020732811
10231300033013
118a103925285
12389b1ab5931
1318a71b3127a
14b2a3058d37
15603b2981ad
hex35da8e69f5

231300033013 has 24 divisors (see below), whose sum is σ = 269701416600. Its totient is φ = 197787598848.

The previous prime is 231300033007. The next prime is 231300033089. The reversal of 231300033013 is 310330003132.

It can be written as a sum of positive squares in 4 ways, for example, as 3616458769 + 227683574244 = 60137^2 + 477162^2 .

It is a de Polignac number, because none of the positive numbers 2k-231300033013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231300033413) 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, 42539131 + ... + 42544567.

It is an arithmetic number, because the mean of its divisors is an integer number (11237559025).

Almost surely, 2231300033013 is an apocalyptic number.

It is an amenable number.

231300033013 is a deficient number, since it is larger than the sum of its proper divisors (38401383587).

231300033013 is a wasteful number, since it uses less digits than its factorization.

231300033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 231300033013 its reverse (310330003132), we get a palindrome (541630036145).

The spelling of 231300033013 in words is "two hundred thirty-one billion, three hundred million, thirty-three thousand, thirteen".

Divisors: 1 7 49 769 1129 5383 5437 7903 37681 38059 55321 266413 868201 4181053 6077407 6138373 29267371 42541849 42968611 204871597 300780277 4720408837 33042861859 231300033013