Search a number
-
+
131067404761 is a prime number
BaseRepresentation
bin111101000010000111…
…0011110000111011001
3110112022022110000200111
41322010032132013121
54121411223423021
6140113405204321
712316654362406
oct1720416360731
9415268400614
10131067404761
1150649151127
122149a2606a1
13c48a082197
1464b51612ad
15362190b8e1
hex1e8439e1d9

131067404761 has 2 divisors, whose sum is σ = 131067404762. Its totient is φ = 131067404760.

The previous prime is 131067404701. The next prime is 131067404771. The reversal of 131067404761 is 167404760131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66431969536 + 64635435225 = 257744^2 + 254235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131067404761 is a prime.

It is not a weakly prime, because it can be changed into another prime (131067404701) 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, 65533702380 + 65533702381.

It is an arithmetic number, because the mean of its divisors is an integer number (65533702381).

Almost surely, 2131067404761 is an apocalyptic number.

It is an amenable number.

131067404761 is a deficient number, since it is larger than the sum of its proper divisors (1).

131067404761 is an equidigital number, since it uses as much as digits as its factorization.

131067404761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 131067404761 in words is "one hundred thirty-one billion, sixty-seven million, four hundred four thousand, seven hundred sixty-one".