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12133142201 is a prime number
BaseRepresentation
bin10110100110011000…
…10000111010111001
31011022120122111010002
423103030100322321
5144322041022301
65323543202345
7606446002265
oct132314207271
934276574102
1012133142201
11516692a354
1224274463b5
1311b49105ab
148315990a5
154b02c016b
hex2d3310eb9

12133142201 has 2 divisors, whose sum is σ = 12133142202. Its totient is φ = 12133142200.

The previous prime is 12133142159. The next prime is 12133142213. The reversal of 12133142201 is 10224133121.

12133142201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6839124601 + 5294017600 = 82699^2 + 72760^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133142201 - 214 = 12133125817 is a prime.

It is not a weakly prime, because it can be changed into another prime (12133142101) 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, 6066571100 + 6066571101.

It is an arithmetic number, because the mean of its divisors is an integer number (6066571101).

Almost surely, 212133142201 is an apocalyptic number.

It is an amenable number.

12133142201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133142201 is an equidigital number, since it uses as much as digits as its factorization.

12133142201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12133142201 its reverse (10224133121), we get a palindrome (22357275322).

The spelling of 12133142201 in words is "twelve billion, one hundred thirty-three million, one hundred forty-two thousand, two hundred one".