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12157180201 is a prime number
BaseRepresentation
bin10110101001001111…
…11101100100101001
31011101020212202001101
423110213331210221
5144344214231301
65330202321401
7610160220025
oct132447754451
934336782041
1012157180201
115179458471
1224334b9261
1311b98a896a
14834855385
154b246c701
hex2d49fd929

12157180201 has 2 divisors, whose sum is σ = 12157180202. Its totient is φ = 12157180200.

The previous prime is 12157180163. The next prime is 12157180207. The reversal of 12157180201 is 10208175121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6781357801 + 5375822400 = 82349^2 + 73320^2 .

It is a cyclic number.

It is not a de Polignac number, because 12157180201 - 27 = 12157180073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12157180201.

It is not a weakly prime, because it can be changed into another prime (12157180207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6078590100 + 6078590101.

It is an arithmetic number, because the mean of its divisors is an integer number (6078590101).

Almost surely, 212157180201 is an apocalyptic number.

It is an amenable number.

12157180201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12157180201 is an equidigital number, since it uses as much as digits as its factorization.

12157180201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 28.

The spelling of 12157180201 in words is "twelve billion, one hundred fifty-seven million, one hundred eighty thousand, two hundred one".