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130822451761 is a prime number
BaseRepresentation
bin111100111010110100…
…0000011001000110001
3110111200020112010100011
41321311220003020301
54120411021424021
6140033215054521
712310621330621
oct1716550031061
9414606463304
10130822451761
1150532955331
1221430211441
13c44b3b8a91
1464907da881
15360a172de1
hex1e75a03231

130822451761 has 2 divisors, whose sum is σ = 130822451762. Its totient is φ = 130822451760.

The previous prime is 130822451717. The next prime is 130822451779. The reversal of 130822451761 is 167154228031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71032910400 + 59789541361 = 266520^2 + 244519^2 .

It is a cyclic number.

It is not a de Polignac number, because 130822451761 - 225 = 130788897329 is a prime.

It is a super-2 number, since 2×1308224517612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (130822451701) 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, 65411225880 + 65411225881.

It is an arithmetic number, because the mean of its divisors is an integer number (65411225881).

Almost surely, 2130822451761 is an apocalyptic number.

It is an amenable number.

130822451761 is a deficient number, since it is larger than the sum of its proper divisors (1).

130822451761 is an equidigital number, since it uses as much as digits as its factorization.

130822451761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

Adding to 130822451761 its reverse (167154228031), we get a palindrome (297976679792).

The spelling of 130822451761 in words is "one hundred thirty billion, eight hundred twenty-two million, four hundred fifty-one thousand, seven hundred sixty-one".