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130032300 = 223521492909
BaseRepresentation
bin1111100000000…
…10001010101100
3100001200022210010
413300002022230
5231242013200
620523013220
73136153626
oct760021254
9301608703
10130032300
1167444212
123766a210
1320c2a3b8
14133abc16
15b638150
hex7c022ac

130032300 has 72 divisors (see below), whose sum is σ = 378882000. Its totient is φ = 34430720.

The previous prime is 130032299. The next prime is 130032323. The reversal of 130032300 is 3230031.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43246 + ... + 46154.

It is an arithmetic number, because the mean of its divisors is an integer number (5262250).

Almost surely, 2130032300 is an apocalyptic number.

130032300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189441000).

130032300 is an abundant number, since it is smaller than the sum of its proper divisors (248849700).

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

130032300 is a wasteful number, since it uses less digits than its factorization.

130032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 130032300 is about 11403.1706117202. The cubic root of 130032300 is about 506.6216536265.

Adding to 130032300 its reverse (3230031), we get a palindrome (133262331).

The spelling of 130032300 in words is "one hundred thirty million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 894 1490 1788 2235 2909 2980 3725 4470 5818 7450 8727 8940 11175 11636 14545 14900 17454 22350 29090 34908 43635 44700 58180 72725 87270 145450 174540 218175 290900 433441 436350 866882 872700 1300323 1733764 2167205 2600646 4334410 5201292 6501615 8668820 10836025 13003230 21672050 26006460 32508075 43344100 65016150 130032300