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130023300 = 223521131241
BaseRepresentation
bin1111011111111…
…11111110000100
3100001122212102210
413233333332010
5231241221200
620522503420
73136115451
oct757777604
9301585383
10130023300
1167438480
1237664b70
1320c26284
14133a8828
15b635650
hex7bfff84

130023300 has 216 divisors, whose sum is σ = 434409696. Its totient is φ = 29760000.

The previous prime is 130023277. The next prime is 130023317. The reversal of 130023300 is 3320031.

It is a happy number.

130023300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3171280 + ... + 3171320.

It is an arithmetic number, because the mean of its divisors is an integer number (2011156).

Almost surely, 2130023300 is an apocalyptic number.

130023300 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 130023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217204848).

130023300 is an abundant number, since it is smaller than the sum of its proper divisors (304386396).

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

130023300 is a wasteful number, since it uses less digits than its factorization.

130023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 93 counting only the distinct ones).

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

The square root of 130023300 is about 11402.7759778047. The cubic root of 130023300 is about 506.6099649920.

Adding to 130023300 its reverse (3320031), we get a palindrome (133343331).

The spelling of 130023300 in words is "one hundred thirty million, twenty-three thousand, three hundred".