Search a number
-
+
130341938841 = 3217270792
BaseRepresentation
bin111100101100011111…
…1000010011010011001
3110110102202100112112100
41321120333002122121
54113420014020331
6135513412034013
712262665125412
oct1713077023231
9413382315470
10130341938841
1150306698914
1221317302909
13c3a29977ca
146446a78809
1535ccda8ae6
hex1e58fc2699

130341938841 has 27 divisors (see below), whose sum is σ = 200026210111. Its totient is φ = 81771624384.

The previous prime is 130341938821. The next prime is 130341938861. The reversal of 130341938841 is 148839143031.

The square root of 130341938841 is 361029.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (130341938821) and next prime (130341938861).

It can be written as a sum of positive squares in only one way, i.e., 101477288025 + 28864650816 = 318555^2 + 169896^2 .

It is not a de Polignac number, because 130341938841 - 233 = 121752004249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130341938821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18408940 + ... + 18416018.

Almost surely, 2130341938841 is an apocalyptic number.

130341938841 is the 361029-th square number.

130341938841 is the 180515-th centered octagonal number.

It is an amenable number.

130341938841 is a deficient number, since it is larger than the sum of its proper divisors (69684271270).

130341938841 is an frugal number, since it uses more digits than its factorization.

130341938841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14198 (or 7099 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 130341938841 in words is "one hundred thirty billion, three hundred forty-one million, nine hundred thirty-eight thousand, eight hundred forty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 7079 21237 63711 120343 361029 1083087 2045831 6137493 18412479 50112241 150336723 451010169 851908097 2555724291 7667172873 14482437649 43447312947 130341938841