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130443046561 = 2324123832
BaseRepresentation
bin111100101111100000…
…0101110111010100001
3110110200210121100020201
41321133000232322201
54114121404442221
6135531423105201
712265333413202
oct1713700567241
9413623540221
10130443046561
1150358776613
1221345142201
13c3ba908569
1464562775a9
1535d6bcb891
hex1e5f02eea1

130443046561 has 27 divisors (see below), whose sum is σ = 140133948787. Its totient is φ = 121410571040.

The previous prime is 130443046553. The next prime is 130443046583. The reversal of 130443046561 is 165640344031.

The square root of 130443046561 is 361169.

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., 6285476961 + 124157569600 = 79281^2 + 352360^2 .

It is not a de Polignac number, because 130443046561 - 23 = 130443046553 is a prime.

It is a super-2 number, since 2×1304430465612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130443046561.

It is not an unprimeable number, because it can be changed into a prime (130443046501) 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, 340582176 + ... + 340582558.

Almost surely, 2130443046561 is an apocalyptic number.

130443046561 is the 361169-th square number.

130443046561 is the 180585-th centered octagonal number.

It is an amenable number.

130443046561 is a deficient number, since it is larger than the sum of its proper divisors (9690902226).

130443046561 is an frugal number, since it uses more digits than its factorization.

130443046561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 130443046561 in words is "one hundred thirty billion, four hundred forty-three million, forty-six thousand, five hundred sixty-one".

Divisors: 1 23 41 383 529 943 1681 8809 15703 21689 38663 146689 202607 361169 643823 889249 3373847 6014249 8306887 14807929 77598481 138327727 246584209 340582367 3181537721 5671436807 130443046561