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131818201 is a prime number
BaseRepresentation
bin1111101101101…
…10001011011001
3100012001001120121
413312312023121
5232221140301
621025153241
73160302424
oct766661331
9305031517
10131818201
1168453a69
123818b821
1321404248
14137149bb
15b88c3a1
hex7db62d9

131818201 has 2 divisors, whose sum is σ = 131818202. Its totient is φ = 131818200.

The previous prime is 131818189. The next prime is 131818207. The reversal of 131818201 is 102818131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124657225 + 7160976 = 11165^2 + 2676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131818201 is a prime.

It is a super-2 number, since 2×1318182012 = 34752076229752802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131818207) 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, 65909100 + 65909101.

It is an arithmetic number, because the mean of its divisors is an integer number (65909101).

Almost surely, 2131818201 is an apocalyptic number.

It is an amenable number.

131818201 is a deficient number, since it is larger than the sum of its proper divisors (1).

131818201 is an equidigital number, since it uses as much as digits as its factorization.

131818201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 131818201 is about 11481.2107810980. The cubic root of 131818201 is about 508.9304781386.

The spelling of 131818201 in words is "one hundred thirty-one million, eight hundred eighteen thousand, two hundred one".