Search a number
-
+
131411641 is a prime number
BaseRepresentation
bin1111101010100…
…10111010111001
3100011021101212211
413311102322321
5232120133031
621012335121
73153660214
oct765227271
9304241784
10131411641
11681a6569
12380144a1
13212c118a
141364a77b
15b80bbb1
hex7d52eb9

131411641 has 2 divisors, whose sum is σ = 131411642. Its totient is φ = 131411640.

The previous prime is 131411639. The next prime is 131411647. The reversal of 131411641 is 146114131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82355625 + 49056016 = 9075^2 + 7004^2 .

It is a cyclic number.

It is not a de Polignac number, because 131411641 - 21 = 131411639 is a prime.

Together with 131411639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131411647) 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, 65705820 + 65705821.

It is an arithmetic number, because the mean of its divisors is an integer number (65705821).

Almost surely, 2131411641 is an apocalyptic number.

It is an amenable number.

131411641 is a deficient number, since it is larger than the sum of its proper divisors (1).

131411641 is an equidigital number, since it uses as much as digits as its factorization.

131411641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 22.

The square root of 131411641 is about 11463.4916583038. The cubic root of 131411641 is about 508.4067167252.

Adding to 131411641 its reverse (146114131), we get a palindrome (277525772).

The spelling of 131411641 in words is "one hundred thirty-one million, four hundred eleven thousand, six hundred forty-one".