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131454454141 is a prime number
BaseRepresentation
bin111101001101101001…
…0111100100101111101
3110120022021202011121201
41322123102330211331
54123204320013031
6140220033055501
712332364265303
oct1723322744575
9416267664551
10131454454141
115082768104a
12215879b7591
13c51c30ab9a
146510714273
1536458b2d61
hex1e9b4bc97d

131454454141 has 2 divisors, whose sum is σ = 131454454142. Its totient is φ = 131454454140.

The previous prime is 131454454129. The next prime is 131454454151. The reversal of 131454454141 is 141454454131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131348981241 + 105472900 = 362421^2 + 10270^2 .

It is a cyclic number.

It is not a de Polignac number, because 131454454141 - 221 = 131452356989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131454454141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131454454151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65727227070 + 65727227071.

It is an arithmetic number, because the mean of its divisors is an integer number (65727227071).

Almost surely, 2131454454141 is an apocalyptic number.

It is an amenable number.

131454454141 is a deficient number, since it is larger than the sum of its proper divisors (1).

131454454141 is an equidigital number, since it uses as much as digits as its factorization.

131454454141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 76800, while the sum is 37.

It can be divided in two parts, 1314544 and 54141, that added together give a triangular number (1368685 = T1654).

The spelling of 131454454141 in words is "one hundred thirty-one billion, four hundred fifty-four million, four hundred fifty-four thousand, one hundred forty-one".