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12000010013 is a prime number
BaseRepresentation
bin10110010110100000…
…11001111100011101
31010222022010200002022
423023100121330131
5144034000310023
65302425505525
7603241254635
oct131320317435
933868120068
1012000010013
1150a8769152
1223aa9422a5
131193169254
1481ba216c5
154a37737c8
hex2cb419f1d

12000010013 has 2 divisors, whose sum is σ = 12000010014. Its totient is φ = 12000010012.

The previous prime is 12000009991. The next prime is 12000010109. The reversal of 12000010013 is 31001000021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9661513849 + 2338496164 = 98293^2 + 48358^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000010013 - 222 = 11995815709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12000010213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000005006 + 6000005007.

It is an arithmetic number, because the mean of its divisors is an integer number (6000005007).

Almost surely, 212000010013 is an apocalyptic number.

It is an amenable number.

12000010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000010013 is an equidigital number, since it uses as much as digits as its factorization.

12000010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 12000010013 its reverse (31001000021), we get a palindrome (43001010034).

The spelling of 12000010013 in words is "twelve billion, ten thousand, thirteen".