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130345827761 = 177667401633
BaseRepresentation
bin111100101100100110…
…1110111110110110001
3110110110000200010010102
41321121031313312301
54113422012442021
6135514031242145
712263043153362
oct1713115676661
9413400603112
10130345827761
11503089046a6
1221318679355
13c3a3729946
1464473abb69
1535cd3c600b
hex1e59377db1

130345827761 has 4 divisors (see below), whose sum is σ = 138013229412. Its totient is φ = 122678426112.

The previous prime is 130345827739. The next prime is 130345827763. The reversal of 130345827761 is 167728543031.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 167728543031 = 723961220433.

It can be written as a sum of positive squares in 2 ways, for example, as 80641800625 + 49704027136 = 283975^2 + 222944^2 .

It is a cyclic number.

It is not a de Polignac number, because 130345827761 - 230 = 129272085937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130345827763) 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 in 3 ways as a sum of consecutive naturals, for example, 3833700800 + ... + 3833700833.

It is an arithmetic number, because the mean of its divisors is an integer number (34503307353).

Almost surely, 2130345827761 is an apocalyptic number.

It is an amenable number.

130345827761 is a deficient number, since it is larger than the sum of its proper divisors (7667401651).

130345827761 is an equidigital number, since it uses as much as digits as its factorization.

130345827761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667401650.

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 130345827761 in words is "one hundred thirty billion, three hundred forty-five million, eight hundred twenty-seven thousand, seven hundred sixty-one".

Divisors: 1 17 7667401633 130345827761