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12133101041 is a prime number
BaseRepresentation
bin10110100110011000…
…00110110111110001
31011022120120101122122
423103030012313301
5144322033213131
65323542244025
7606445441265
oct132314066761
934276511578
1012133101041
115166901436
122427426615
1311b48c7939
148315880a5
154b02b2d7b
hex2d3306df1

12133101041 has 2 divisors, whose sum is σ = 12133101042. Its totient is φ = 12133101040.

The previous prime is 12133101017. The next prime is 12133101119. The reversal of 12133101041 is 14010133121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12076911025 + 56190016 = 109895^2 + 7496^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133101041 - 226 = 12065992177 is a prime.

It is a super-2 number, since 2×121331010412 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12133100041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066550520 + 6066550521.

It is an arithmetic number, because the mean of its divisors is an integer number (6066550521).

Almost surely, 212133101041 is an apocalyptic number.

It is an amenable number.

12133101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133101041 is an equidigital number, since it uses as much as digits as its factorization.

12133101041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12133101041 its reverse (14010133121), we get a palindrome (26143234162).

The spelling of 12133101041 in words is "twelve billion, one hundred thirty-three million, one hundred one thousand, forty-one".