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130837741225 = 527329912
BaseRepresentation
bin111100111011010001…
…0010111111010101001
3110111201022021220112121
41321312202113322221
54120423430204400
6140034522511241
712311165310412
oct1716642277251
9414638256477
10130837741225
1150540548554
1221435365521
13c4516100b9
14649285a809
15360b69321a
hex1e76897ea9

130837741225 has 27 divisors (see below), whose sum is σ = 164657845989. Its totient is φ = 103132180800.

The previous prime is 130837741219. The next prime is 130837741241. The reversal of 130837741225 is 522147738031.

The square root of 130837741225 is 361715.

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

It can be written as a sum of positive squares in 4 ways, for example, as 715937049 + 130121804176 = 26757^2 + 360724^2 .

It is not a de Polignac number, because 130837741225 - 23 = 130837741217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132025480 + ... + 132026470.

Almost surely, 2130837741225 is an apocalyptic number.

130837741225 is the 361715-th square number.

130837741225 is the 180858-th centered octagonal number.

It is an amenable number.

130837741225 is a deficient number, since it is larger than the sum of its proper divisors (33820104764).

130837741225 is an frugal number, since it uses more digits than its factorization.

130837741225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 130837741225 in words is "one hundred thirty billion, eight hundred thirty-seven million, seven hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 73 365 991 1825 4955 5329 24775 26645 72343 133225 361715 982081 1808575 4910405 5281039 24552025 26405195 71691913 132025975 358459565 1792297825 5233509649 26167548245 130837741225