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130444431413 is a prime number
BaseRepresentation
bin111100101111100011…
…0000001000000110101
3110110200220012200220112
41321133012001000311
54114122233301123
6135531512512405
712265351241522
oct1713706010065
9413626180815
10130444431413
115035953201a
12213456ab705
13c3baca19ba
146456518149
1535d6da1d78
hex1e5f181035

130444431413 has 2 divisors, whose sum is σ = 130444431414. Its totient is φ = 130444431412.

The previous prime is 130444431379. The next prime is 130444431451. The reversal of 130444431413 is 314134444031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121366534129 + 9077897284 = 348377^2 + 95278^2 .

It is a cyclic number.

It is not a de Polignac number, because 130444431413 - 214 = 130444415029 is a prime.

It is a super-2 number, since 2×1304444314132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130444431413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130444431463) 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, 65222215706 + 65222215707.

It is an arithmetic number, because the mean of its divisors is an integer number (65222215707).

Almost surely, 2130444431413 is an apocalyptic number.

It is an amenable number.

130444431413 is a deficient number, since it is larger than the sum of its proper divisors (1).

130444431413 is an equidigital number, since it uses as much as digits as its factorization.

130444431413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 130444431413 its reverse (314134444031), we get a palindrome (444578875444).

The spelling of 130444431413 in words is "one hundred thirty billion, four hundred forty-four million, four hundred thirty-one thousand, four hundred thirteen".