Search a number
-
+
12172322093 is a prime number
BaseRepresentation
bin10110101011000011…
…01110010100101101
31011102022101000211012
423111201232110231
5144412103301333
65331503035005
7610433013341
oct132541562455
934368330735
1012172322093
115186a5a828
12243859ba65
1311bca7aa69
14836877621
154b395de48
hex2d586e52d

12172322093 has 2 divisors, whose sum is σ = 12172322094. Its totient is φ = 12172322092.

The previous prime is 12172322053. The next prime is 12172322111. The reversal of 12172322093 is 39022327121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11857685449 + 314636644 = 108893^2 + 17738^2 .

It is a cyclic number.

It is not a de Polignac number, because 12172322093 - 228 = 11903886637 is a prime.

It is a super-3 number, since 3×121723220933 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12172322053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6086161046 + 6086161047.

It is an arithmetic number, because the mean of its divisors is an integer number (6086161047).

Almost surely, 212172322093 is an apocalyptic number.

It is an amenable number.

12172322093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12172322093 is an equidigital number, since it uses as much as digits as its factorization.

12172322093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 12172322093 in words is "twelve billion, one hundred seventy-two million, three hundred twenty-two thousand, ninety-three".