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130032120 = 23351083601
BaseRepresentation
bin1111100000000…
…10000111111000
3100001200022112110
413300002013320
5231242011440
620523012320
73136153251
oct760020770
9301608473
10130032120
1167444069
123766a0a0
1320c2a2aa
14133abb28
15b638080
hex7c021f8

130032120 has 32 divisors (see below), whose sum is σ = 390096720. Its totient is φ = 34675200.

The previous prime is 130032113. The next prime is 130032121. The reversal of 130032120 is 21230031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130032096 and 130032105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032121) 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, 541681 + ... + 541920.

Almost surely, 2130032120 is an apocalyptic number.

130032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130032120 is an abundant number, since it is smaller than the sum of its proper divisors (260064600).

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

130032120 is a wasteful number, since it uses less digits than its factorization.

130032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083615 (or 1083611 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130032120 is about 11403.1627191758. The cubic root of 130032120 is about 506.6214198591.

Adding to 130032120 its reverse (21230031), we get a palindrome (151262151).

The spelling of 130032120 in words is "one hundred thirty million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1083601 2167202 3250803 4334404 5418005 6501606 8668808 10836010 13003212 16254015 21672020 26006424 32508030 43344040 65016060 130032120