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323331000013 = 72174773113131
BaseRepresentation
bin1001011010010000000…
…01111000011011001101
31010220120111022121222201
410231020001320123031
520244140214000023
6404311453241501
732234305103500
oct4551001703315
91126514277881
10323331000013
1111513aa1399a
12527b6a93291
132464a650a68
1411913993137
158625aa2bad
hex4b480786cd

323331000013 has 48 divisors (see below), whose sum is σ = 412292830464. Its totient is φ = 251789368320.

The previous prime is 323331000001. The next prime is 323331000043. The reversal of 323331000013 is 310000133323.

It is not a de Polignac number, because 323331000013 - 29 = 323330999501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323331000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2801458 + ... + 2914588.

It is an arithmetic number, because the mean of its divisors is an integer number (8589433968).

Almost surely, 2323331000013 is an apocalyptic number.

It is an amenable number.

323331000013 is a deficient number, since it is larger than the sum of its proper divisors (88961830451).

323331000013 is a wasteful number, since it uses less digits than its factorization.

323331000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113282 (or 113275 counting only the distinct ones).

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

Adding to 323331000013 its reverse (310000133323), we get a palindrome (633331133336).

The spelling of 323331000013 in words is "three hundred twenty-three billion, three hundred thirty-one million, thirteen", and thus it is an aban number.

Divisors: 1 7 17 47 49 73 119 329 511 799 833 1241 2303 3431 3577 5593 8687 24017 39151 58327 60809 113131 168119 408289 791917 1923227 2858023 5317157 5543419 8258563 13462589 37220099 57809941 90391669 94238123 140395571 260540693 388152461 404669587 632741683 982768997 2717067227 4429191781 6598591837 6879382979 19019470589 46190142859 323331000013