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130500000 = 25325629
BaseRepresentation
bin1111100011101…
…00010110100000
3100002120002100100
413301310112200
5231402000000
620541022400
73143142321
oct761642640
9302502310
10130500000
1167733644
1237854a00
1321062247
1413490448
15b6cba00
hex7c745a0

130500000 has 252 divisors, whose sum is σ = 479876670. Its totient is φ = 33600000.

The previous prime is 130499989. The next prime is 130500023. The reversal of 130500000 is 5031.

It can be written as a sum of positive squares in 7 ways, for example, as 67963536 + 62536464 = 8244^2 + 7908^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4499986 + ... + 4500014.

Almost surely, 2130500000 is an apocalyptic number.

130500000 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 130500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239938335).

130500000 is an abundant number, since it is smaller than the sum of its proper divisors (349376670).

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

130500000 is an frugal number, since it uses more digits than its factorization.

130500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 130500000 is about 11423.6596587959. The cubic root of 130500000 is about 507.2283321985.

Adding to 130500000 its reverse (5031), we get a palindrome (130505031).

The spelling of 130500000 in words is "one hundred thirty million, five hundred thousand".