Search a number
-
+
12133102297 is a prime number
BaseRepresentation
bin10110100110011000…
…00111001011011001
31011022120120110101011
423103030013023121
5144322033233142
65323542253521
7606445445041
oct132314071331
934276513334
1012133102297
115166902378
1224274272a1
1311b48c8394
14831588721
154b02b3417
hex2d33072d9

12133102297 has 2 divisors, whose sum is σ = 12133102298. Its totient is φ = 12133102296.

The previous prime is 12133102291. The next prime is 12133102349. The reversal of 12133102297 is 79220133121.

12133102297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7024283721 + 5108818576 = 83811^2 + 71476^2 .

It is an emirp because it is prime and its reverse (79220133121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12133102297 - 219 = 12132578009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12133102291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066551148 + 6066551149.

It is an arithmetic number, because the mean of its divisors is an integer number (6066551149).

Almost surely, 212133102297 is an apocalyptic number.

It is an amenable number.

12133102297 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133102297 is an equidigital number, since it uses as much as digits as its factorization.

12133102297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 12133102297 in words is "twelve billion, one hundred thirty-three million, one hundred two thousand, two hundred ninety-seven".