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12133010093 is a prime number
BaseRepresentation
bin10110100110010111…
…10000101010101101
31011022120101202220012
423103023300222231
5144322022310333
65323540303005
7606444612161
oct132313605255
934276352805
1012133010093
11516684a076
1224273a1a65
1311b4895419
14831562ca1
154b0295e48
hex2d32f0aad

12133010093 has 2 divisors, whose sum is σ = 12133010094. Its totient is φ = 12133010092.

The previous prime is 12133010077. The next prime is 12133010167. The reversal of 12133010093 is 39001033121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11638525924 + 494484169 = 107882^2 + 22237^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133010093 - 24 = 12133010077 is a prime.

It is a super-4 number, since 4×121330100934 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12133010033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066505046 + 6066505047.

It is an arithmetic number, because the mean of its divisors is an integer number (6066505047).

Almost surely, 212133010093 is an apocalyptic number.

It is an amenable number.

12133010093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133010093 is an equidigital number, since it uses as much as digits as its factorization.

12133010093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 12133010093 in words is "twelve billion, one hundred thirty-three million, ten thousand, ninety-three".