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130201344 = 283571323
BaseRepresentation
bin1111100001010…
…11011100000000
3100001222220200000
413300223130000
5231312420334
620530400000
73140456520
oct760533400
9301886600
10130201344
116754a219
1237730000
1320c89320
1413413680
15b66d299
hex7c2b700

130201344 has 432 divisors, whose sum is σ = 499978752. Its totient is φ = 32845824.

The previous prime is 130201307. The next prime is 130201361. The reversal of 130201344 is 443102031.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660917 + ... + 5660939.

Almost surely, 2130201344 is an apocalyptic number.

130201344 is a gapful number since it is divisible by the number (14) 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 130201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249989376).

130201344 is an abundant number, since it is smaller than the sum of its proper divisors (369777408).

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

130201344 is an equidigital number, since it uses as much as digits as its factorization.

130201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130201344 is about 11410.5803533387. The cubic root of 130201344 is about 506.8410972209.

Adding to 130201344 its reverse (443102031), we get a palindrome (573303375).

The spelling of 130201344 in words is "one hundred thirty million, two hundred one thousand, three hundred forty-four".