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231321320013 = 37587166711257
BaseRepresentation
bin1101011101101111010…
…0110011101001001101
3211010002011212121011210
43113123310303221031
512242221224220023
6254133442405033
722466233530540
oct3273364635115
9733064777153
10231321320013
118a114944543
12389b9060779
1318a76375424
14b2a5bda857
15603d0a0593
hex35dbd33a4d

231321320013 has 32 divisors (see below), whose sum is σ = 353333320704. Its totient is φ = 131867551872.

The previous prime is 231321320003. The next prime is 231321320033. The reversal of 231321320013 is 310023123132.

It is not a de Polignac number, because 231321320013 - 25 = 231321319981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231321320003) 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 31 ways as a sum of consecutive naturals, for example, 20543481 + ... + 20554737.

It is an arithmetic number, because the mean of its divisors is an integer number (11041666272).

Almost surely, 2231321320013 is an apocalyptic number.

It is an amenable number.

231321320013 is a deficient number, since it is larger than the sum of its proper divisors (122012000691).

231321320013 is a wasteful number, since it uses less digits than its factorization.

231321320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13521.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 231321320013 its reverse (310023123132), we get a palindrome (541344443145).

The spelling of 231321320013 in words is "two hundred thirty-one billion, three hundred twenty-one million, three hundred twenty thousand, thirteen".

Divisors: 1 3 7 21 587 1667 1761 4109 5001 11257 11669 12327 33771 35007 78799 236397 978529 2935587 6607859 6849703 18765419 19823577 20549109 46255013 56296257 131357933 138765039 394073799 11015300953 33045902859 77107106671 231321320013