Search a number
-
+
130461510689 is a prime number
BaseRepresentation
bin111100110000000011…
…1001010110000100001
3110110202002100102021022
41321200013022300201
54114141121320224
6135533322535225
712265646354366
oct1714007126041
9413662312238
10130461510689
1150368137a24
122134b367515
13c3c16a1893
1464588c246d
1535d862765e
hex1e601cac21

130461510689 has 2 divisors, whose sum is σ = 130461510690. Its totient is φ = 130461510688.

The previous prime is 130461510677. The next prime is 130461510701. The reversal of 130461510689 is 986015164031.

It is a balanced prime because it is at equal distance from previous prime (130461510677) and next prime (130461510701).

It can be written as a sum of positive squares in only one way, i.e., 126179117089 + 4282393600 = 355217^2 + 65440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130461510689 is a prime.

It is a super-2 number, since 2×1304615106892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (130461510589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65230755344 + 65230755345.

It is an arithmetic number, because the mean of its divisors is an integer number (65230755345).

Almost surely, 2130461510689 is an apocalyptic number.

It is an amenable number.

130461510689 is a deficient number, since it is larger than the sum of its proper divisors (1).

130461510689 is an equidigital number, since it uses as much as digits as its factorization.

130461510689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 130461510689 in words is "one hundred thirty billion, four hundred sixty-one million, five hundred ten thousand, six hundred eighty-nine".