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12112312013 is a prime number
BaseRepresentation
bin10110100011111001…
…10011011011001101
31011021010110012110122
423101330303123031
5144301222441023
65321520514325
7606103645004
oct132174633315
934233405418
1012112312013
1151560a231a
12242047b9a5
1311b04c9339
1482c8d5c3b
154ad5582c8
hex2d1f336cd

12112312013 has 2 divisors, whose sum is σ = 12112312014. Its totient is φ = 12112312012.

The previous prime is 12112311979. The next prime is 12112312021. The reversal of 12112312013 is 31021321121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11832653284 + 279658729 = 108778^2 + 16723^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112312013 - 218 = 12112049869 is a prime.

It is a super-2 number, since 2×121123120132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12112311982 and 12112312000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12112912013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056156006 + 6056156007.

It is an arithmetic number, because the mean of its divisors is an integer number (6056156007).

Almost surely, 212112312013 is an apocalyptic number.

It is an amenable number.

12112312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112312013 is an equidigital number, since it uses as much as digits as its factorization.

12112312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12112312013 its reverse (31021321121), we get a palindrome (43133633134).

The spelling of 12112312013 in words is "twelve billion, one hundred twelve million, three hundred twelve thousand, thirteen".