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130125372 = 22313834137
BaseRepresentation
bin1111100000110…
…00111000111100
3100001212001110020
413300120320330
5231303002442
620525012140
73140022156
oct760307074
9301761406
10130125372
11674a8133
12376b4050
1320c60880
14133d3ad6
15b6559ec
hex7c18e3c

130125372 has 24 divisors (see below), whose sum is σ = 326982096. Its totient is φ = 40038528.

The previous prime is 130125371. The next prime is 130125389. The reversal of 130125372 is 273521031.

It is a super-3 number, since 3×1301253723 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130125371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416913 + ... + 417224.

It is an arithmetic number, because the mean of its divisors is an integer number (13624254).

Almost surely, 2130125372 is an apocalyptic number.

130125372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130125372 is an abundant number, since it is smaller than the sum of its proper divisors (196856724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130125372 is a wasteful number, since it uses less digits than its factorization.

130125372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834157 (or 834155 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 130125372 is about 11407.2508519801. The cubic root of 130125372 is about 506.7424980759.

The spelling of 130125372 in words is "one hundred thirty million, one hundred twenty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 834137 1668274 2502411 3336548 5004822 10009644 10843781 21687562 32531343 43375124 65062686 130125372