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130210557409 = 2322925412
BaseRepresentation
bin111100101000100100…
…1110110110111100001
3110110002121010200002101
41321101021312313201
54113132400314114
6135452400050401
712256511322232
oct1712111666741
9413077120071
10130210557409
1150249513019
122129b303a01
13c3816b730a
146433439089
1535c15a5d74
hex1e51276de1

130210557409 has 27 divisors (see below), whose sum is σ = 141234669849. Its totient is φ = 120032146080.

The previous prime is 130210557383. The next prime is 130210557413. The reversal of 130210557409 is 904755012031.

The square root of 130210557409 is 360847.

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 812079009 + 129398478400 = 28497^2 + 359720^2 .

It is not a de Polignac number, because 130210557409 - 221 = 130208460257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130210557439) 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, 240684679 + ... + 240685219.

Almost surely, 2130210557409 is an apocalyptic number.

130210557409 is the 360847-th square number.

130210557409 is the 180424-th centered octagonal number.

It is an amenable number.

130210557409 is a deficient number, since it is larger than the sum of its proper divisors (11024112440).

130210557409 is an frugal number, since it uses more digits than its factorization.

130210557409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 130210557409 in words is "one hundred thirty billion, two hundred ten million, five hundred fifty-seven thousand, four hundred nine".

Divisors: 1 23 29 529 541 667 841 12443 15341 15689 19343 286189 292681 360847 444889 454981 6731663 8299481 8487749 10464563 154828249 195218227 240684949 246144721 4490019221 5661328583 130210557409