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130083570241 = 101235712
BaseRepresentation
bin111100100100110010…
…1011100001001000001
3110102202202012001102221
41321021211130021001
54112402343221431
6135432022211041
712253410050242
oct1711145341101
9412682161387
10130083570241
1150193869749
1221264883a81
13c3612b4c91
146420620cc9
1535b5370111
hex1e4995c241

130083570241 has 9 divisors (see below), whose sum is σ = 131421080739. Its totient is φ = 128759547000.

The previous prime is 130083570233. The next prime is 130083570247. The reversal of 130083570241 is 142075380031.

The square root of 130083570241 is 360671.

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

It can be written as a sum of positive squares in only one way, i.e., 124982753841 + 5100816400 = 353529^2 + 71420^2 .

It is not a de Polignac number, because 130083570241 - 23 = 130083570233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130083570197 and 130083570206.

It is not an unprimeable number, because it can be changed into a prime (130083570247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36425986 + ... + 36429556.

Almost surely, 2130083570241 is an apocalyptic number.

130083570241 is the 360671-st square number.

130083570241 is the 180336-th centered octagonal number.

It is an amenable number.

130083570241 is a deficient number, since it is larger than the sum of its proper divisors (1337510498).

130083570241 is an frugal number, since it uses more digits than its factorization.

130083570241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 130083570241 in words is "one hundred thirty billion, eighty-three million, five hundred seventy thousand, two hundred forty-one".

Divisors: 1 101 3571 10201 360671 12752041 36427771 1287956141 130083570241