Search a number
-
+
12111122993 is a prime number
BaseRepresentation
bin10110100011110000…
…10001001000110001
31011021001012210102212
423101320101020301
5144300421413433
65321435221505
7606060563324
oct132170211061
934231183385
1012111122993
11515545aa62
12241bba7895
1311b01a1088
1482c6a67bb
154ad3c0d48
hex2d1e11231

12111122993 has 2 divisors, whose sum is σ = 12111122994. Its totient is φ = 12111122992.

The previous prime is 12111122953. The next prime is 12111123053. The reversal of 12111122993 is 39922111121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11284387984 + 826735009 = 106228^2 + 28753^2 .

It is an emirp because it is prime and its reverse (39922111121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12111122993 - 222 = 12106928689 is a prime.

It is not a weakly prime, because it can be changed into another prime (12111122953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055561496 + 6055561497.

It is an arithmetic number, because the mean of its divisors is an integer number (6055561497).

Almost surely, 212111122993 is an apocalyptic number.

It is an amenable number.

12111122993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111122993 is an equidigital number, since it uses as much as digits as its factorization.

12111122993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 32.

The spelling of 12111122993 in words is "twelve billion, one hundred eleven million, one hundred twenty-two thousand, nine hundred ninety-three".