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12011011319 is a prime number
BaseRepresentation
bin10110010111110100…
…10111110011110111
31011000001211121001002
423023322113303313
5144044304330234
65303501353515
7603433624466
oct131372276367
934001747032
1012011011319
1151039a263a
1223b256889b
13119551b7b8
1481d2869dd
154a46e827e
hex2cbe97cf7

12011011319 has 2 divisors, whose sum is σ = 12011011320. Its totient is φ = 12011011318.

The previous prime is 12011011297. The next prime is 12011011321. The reversal of 12011011319 is 91311011021.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12011011319 - 212 = 12011007223 is a prime.

It is a super-2 number, since 2×120110113192 (a number of 21 digits) contains 22 as substring.

Together with 12011011321, 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 12011011319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12011011339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005505659 + 6005505660.

It is an arithmetic number, because the mean of its divisors is an integer number (6005505660).

Almost surely, 212011011319 is an apocalyptic number.

12011011319 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011011319 is an equidigital number, since it uses as much as digits as its factorization.

12011011319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 12011011319 in words is "twelve billion, eleven million, eleven thousand, three hundred nineteen".