Search a number
-
+
131735147 is a prime number
BaseRepresentation
bin1111101101000…
…01111001101011
3100011212211122112
413312201321223
5232211011042
621023312535
73156505325
oct766417153
9304784575
10131735147
11683a7625
123814b74b
13213a54bb
14136d2615
15b872982
hex7da1e6b

131735147 has 2 divisors, whose sum is σ = 131735148. Its totient is φ = 131735146.

The previous prime is 131735119. The next prime is 131735161. The reversal of 131735147 is 741537131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131735147 - 210 = 131734123 is a prime.

It is a super-2 number, since 2×1317351472 = 34708297910223218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131735117) 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, 65867573 + 65867574.

It is an arithmetic number, because the mean of its divisors is an integer number (65867574).

Almost surely, 2131735147 is an apocalyptic number.

131735147 is a deficient number, since it is larger than the sum of its proper divisors (1).

131735147 is an equidigital number, since it uses as much as digits as its factorization.

131735147 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 32.

The square root of 131735147 is about 11477.5932581705. The cubic root of 131735147 is about 508.8235692999.

The spelling of 131735147 in words is "one hundred thirty-one million, seven hundred thirty-five thousand, one hundred forty-seven".