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3000013313 = 113112177229
BaseRepresentation
bin1011001011010000…
…1001001000000001
321202002001110121012
42302310021020001
522121000411223
61213404410305
7134225456333
oct26264111001
97662043535
103000013313
1112aa47a450
126b8846995
1338a6ba60b
1420660b453
15128597c78
hexb2d09201

3000013313 has 16 divisors (see below), whose sum is σ = 3381557760. Its totient is φ = 2636774400.

The previous prime is 3000013309. The next prime is 3000013327. The reversal of 3000013313 is 3133100003.

It is a cyclic number.

It is not a de Polignac number, because 3000013313 - 22 = 3000013309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3000013333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411383 + ... + 418611.

It is an arithmetic number, because the mean of its divisors is an integer number (211347360).

Almost surely, 23000013313 is an apocalyptic number.

It is an amenable number.

3000013313 is a deficient number, since it is larger than the sum of its proper divisors (381544447).

3000013313 is a wasteful number, since it uses less digits than its factorization.

3000013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 3000013313 is about 54772.3772808886. The cubic root of 3000013313 is about 1442.2517037119.

Adding to 3000013313 its reverse (3133100003), we get a palindrome (6133113316).

The spelling of 3000013313 in words is "three billion, thirteen thousand, three hundred thirteen".

Divisors: 1 11 31 341 1217 7229 13387 37727 79519 224099 414997 2465089 8797693 96774623 272728483 3000013313