Search a number
-
+
131205149 is a prime number
BaseRepresentation
bin1111101001000…
…00100000011101
3100010212220121222
413310200200131
5232042031044
621004103125
73152140205
oct764404035
9303786558
10131205149
1168075409
1237b34aa5
132124b1aa
14135d5405
15b7ba8ee
hex7d2081d

131205149 has 2 divisors, whose sum is σ = 131205150. Its totient is φ = 131205148.

The previous prime is 131205143. The next prime is 131205181. The reversal of 131205149 is 941502131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90117049 + 41088100 = 9493^2 + 6410^2 .

It is an emirp because it is prime and its reverse (941502131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131205149 - 28 = 131204893 is a prime.

It is a super-2 number, since 2×1312051492 = 34429582248224402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131205143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65602574 + 65602575.

It is an arithmetic number, because the mean of its divisors is an integer number (65602575).

Almost surely, 2131205149 is an apocalyptic number.

It is an amenable number.

131205149 is a deficient number, since it is larger than the sum of its proper divisors (1).

131205149 is an equidigital number, since it uses as much as digits as its factorization.

131205149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 131205149 is about 11454.4816120154. The cubic root of 131205149 is about 508.1402843292.

The spelling of 131205149 in words is "one hundred thirty-one million, two hundred five thousand, one hundred forty-nine".