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130112425521 = 3413230832
BaseRepresentation
bin111100100101101001…
…1100000111000110001
3110102211202111001110000
41321023103200320301
54112432240104041
6135434532500213
712254210240361
oct1711323407061
9412752431400
10130112425521
11501a9088091
122127247a669
13c367278c00
1464243b29a1
1535b7b6ebb6
hex1e4b4e0e31

130112425521 has 45 divisors (see below), whose sum is σ = 210535046139. Its totient is φ = 80043213744.

The previous prime is 130112425519. The next prime is 130112425529. The reversal of 130112425521 is 125524211031.

It is a happy number.

The square root of 130112425521 is 360711.

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

130112425521 is a `hidden beast` number, since 1 + 3 + 0 + 112 + 4 + 25 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19247400225 + 110865025296 = 138735^2 + 332964^2 .

It is not a de Polignac number, because 130112425521 - 21 = 130112425519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130112425529) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42201646 + ... + 42204728.

Almost surely, 2130112425521 is an apocalyptic number.

130112425521 is the 360711-st square number.

130112425521 is the 180356-th centered octagonal number.

It is an amenable number.

130112425521 is a deficient number, since it is larger than the sum of its proper divisors (80422620618).

130112425521 is an frugal number, since it uses more digits than its factorization.

130112425521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 130112425521 its reverse (125524211031), we get a palindrome (255636636552).

The spelling of 130112425521 in words is "one hundred thirty billion, one hundred twelve million, four hundred twenty-five thousand, five hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 3083 4563 9249 13689 27747 40079 83241 120237 249723 360711 521027 1082133 1563081 3246399 4689243 9504889 14067729 28514667 42203187 85544001 123563557 256632003 370690671 769896009 1112072013 1606326241 3336216039 4818978723 10008648117 14456936169 43370808507 130112425521