Search a number
-
+
12138110009 is a prime number
BaseRepresentation
bin10110100110111110…
…01101110000111001
31011022220222212122222
423103133031300321
5144324324010014
65324241453425
7606536142554
oct132337156071
934286885588
1012138110009
115169712783
122429041275
1311b595c81c
148320cd69b
154b095208e
hex2d37cdc39

12138110009 has 2 divisors, whose sum is σ = 12138110010. Its totient is φ = 12138110008.

The previous prime is 12138109957. The next prime is 12138110011. The reversal of 12138110009 is 90001183121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7332154384 + 4805955625 = 85628^2 + 69325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12138110009 is a prime.

Together with 12138110011, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12138110009.

It is not a weakly prime, because it can be changed into another prime (12138110029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6069055004 + 6069055005.

It is an arithmetic number, because the mean of its divisors is an integer number (6069055005).

Almost surely, 212138110009 is an apocalyptic number.

It is an amenable number.

12138110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12138110009 is an equidigital number, since it uses as much as digits as its factorization.

12138110009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 12138110009 in words is "twelve billion, one hundred thirty-eight million, one hundred ten thousand, nine".