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130487835361 = 1323727512
BaseRepresentation
bin111100110000110101…
…1100101101011100001
3110110210220212211221011
41321201223211223201
54114214341212421
6135540103100521
712266416204612
oct1714153455341
9413726784834
10130487835361
1150380a88054
1221358141741
13c3c6c8aa00
14645c1b5c09
1535daac74e1
hex1e61ae5ae1

130487835361 has 27 divisors (see below), whose sum is σ = 145413167193. Its totient is φ = 117038844000.

The previous prime is 130487835353. The next prime is 130487835367. The reversal of 130487835361 is 163538784031.

The square root of 130487835361 is 361231.

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 542004961 + 129945830400 = 23281^2 + 360480^2 .

It is not a de Polignac number, because 130487835361 - 23 = 130487835353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130487835367) 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, 173751736 + ... + 173752486.

It is an arithmetic number, because the mean of its divisors is an integer number (5385672859).

Almost surely, 2130487835361 is an apocalyptic number.

130487835361 is the 361231-st square number.

130487835361 is the 180616-th centered octagonal number.

It is an amenable number.

130487835361 is a deficient number, since it is larger than the sum of its proper divisors (14925331832).

130487835361 is an frugal number, since it uses more digits than its factorization.

130487835361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 130487835361 by its sum of digits (49), we get a square (6393903932689 = 25286172).

The spelling of 130487835361 in words is "one hundred thirty billion, four hundred eighty-seven million, eight hundred thirty-five thousand, three hundred sixty-one".

Divisors: 1 13 37 169 481 751 1369 6253 9763 17797 27787 126919 231361 361231 564001 1028119 4696003 7332013 13365547 20868037 95316169 173752111 271284481 772117369 3526698253 10037525797 130487835361