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130501800 = 23335211133
BaseRepresentation
bin1111100011101…
…00110010101000
3100002120011211000
413301310302220
5231402024200
620541035000
73143150502
oct761646250
9302504730
10130501800
1167734a30
1237855a60
1321063000
1413490d72
15b6cc300
hex7c74ca8

130501800 has 384 divisors, whose sum is σ = 531216000. Its totient is φ = 29203200.

The previous prime is 130501783. The next prime is 130501859. The reversal of 130501800 is 8105031.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10038594 + ... + 10038606.

It is an arithmetic number, because the mean of its divisors is an integer number (1383375).

Almost surely, 2130501800 is an apocalyptic number.

130501800 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 130501800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265608000).

130501800 is an abundant number, since it is smaller than the sum of its proper divisors (400714200).

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

130501800 is a wasteful number, since it uses less digits than its factorization.

130501800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 130501800 is about 11423.7384423839. The cubic root of 130501800 is about 507.2306642720.

Adding to 130501800 its reverse (8105031), we get a palindrome (138606831).

The spelling of 130501800 in words is "one hundred thirty million, five hundred one thousand, eight hundred".