Search a number
-
+
131441145461 is a prime number
BaseRepresentation
bin111101001101010000…
…0001011011001110101
3110120021100201000112122
41322122200023121311
54123142413123321
6140214435525325
712332143205423
oct1723240133165
9416240630478
10131441145461
115082011103a
1221583459845
13c51962b322
14650ca4c113
1536446348ab
hex1e9a80b675

131441145461 has 2 divisors, whose sum is σ = 131441145462. Its totient is φ = 131441145460.

The previous prime is 131441145449. The next prime is 131441145509. The reversal of 131441145461 is 164541144131.

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., 109581522961 + 21859622500 = 331031^2 + 147850^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131441145461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131441145061) 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, 65720572730 + 65720572731.

It is an arithmetic number, because the mean of its divisors is an integer number (65720572731).

Almost surely, 2131441145461 is an apocalyptic number.

It is an amenable number.

131441145461 is a deficient number, since it is larger than the sum of its proper divisors (1).

131441145461 is an equidigital number, since it uses as much as digits as its factorization.

131441145461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 35.

Adding to 131441145461 its reverse (164541144131), we get a palindrome (295982289592).

The spelling of 131441145461 in words is "one hundred thirty-one billion, four hundred forty-one million, one hundred forty-five thousand, four hundred sixty-one".