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13221137683 = 132837734649
BaseRepresentation
bin11000101000000101…
…01000110100010011
31021010101220101100001
430110002220310103
5204034102401213
610023530510431
7645426546625
oct142402506423
937111811301
1013221137683
115674a95476
12268b895417
13132914a1c0
148d5c90c15
15525a841dd
hex3140a8d13

13221137683 has 16 divisors (see below), whose sum is σ = 14310021600. Its totient is φ = 12142658304.

The previous prime is 13221137627. The next prime is 13221137687. The reversal of 13221137683 is 38673112231.

It is a cyclic number.

It is not a de Polignac number, because 13221137683 - 233 = 4631203091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13221137687) 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 15 ways as a sum of consecutive naturals, for example, 2841543 + ... + 2846191.

It is an arithmetic number, because the mean of its divisors is an integer number (894376350).

Almost surely, 213221137683 is an apocalyptic number.

13221137683 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13221137683 is a deficient number, since it is larger than the sum of its proper divisors (1088883917).

13221137683 is a wasteful number, since it uses less digits than its factorization.

13221137683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718.

The product of its digits is 36288, while the sum is 37.

The spelling of 13221137683 in words is "thirteen billion, two hundred twenty-one million, one hundred thirty-seven thousand, six hundred eighty-three".

Divisors: 1 13 283 773 3679 4649 10049 60437 218759 1315667 2843867 3593677 17103671 46717801 1017010591 13221137683