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23321120013 = 3217227732369
BaseRepresentation
bin10101101110000011…
…000000110100001101
32020012021210122102200
4111232003000310031
5340230201320023
614414044312113
71453630151352
oct255603006415
966167718380
1023321120013
119988189704
12462a242639
1322787730c9
1411b33dc629
159175e1743
hex56e0c0d0d

23321120013 has 36 divisors (see below), whose sum is σ = 35914450260. Its totient is φ = 14579582976.

The previous prime is 23321120003. The next prime is 23321120033. The reversal of 23321120013 is 31002112332.

It can be written as a sum of positive squares in 6 ways, for example, as 664247529 + 22656872484 = 25773^2 + 150522^2 .

It is not a de Polignac number, because 23321120013 - 29 = 23321119501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321120003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 704293 + ... + 736661.

Almost surely, 223321120013 is an apocalyptic number.

It is an amenable number.

23321120013 is a deficient number, since it is larger than the sum of its proper divisors (12593330247).

23321120013 is a wasteful number, since it uses less digits than its factorization.

23321120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32686 (or 32666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23321120013 its reverse (31002112332), we get a palindrome (54323232345).

The spelling of 23321120013 in words is "twenty-three billion, three hundred twenty-one million, one hundred twenty thousand, thirteen".

Divisors: 1 3 9 17 51 153 277 289 831 867 2493 2601 4709 14127 32369 42381 80053 97107 240159 291321 550273 720477 1650819 4952457 8966213 9354641 26898639 28063923 80695917 84191769 152425621 457276863 1371830589 2591235557 7773706671 23321120013