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130576320000 = 293354717127
BaseRepresentation
bin111100110011011110…
…1001000011000000000
3110111001002101100001000
41321212331020120000
54114410014220000
6135552543412000
712301542256410
oct1714675103000
9414032340030
10130576320000
1150416a23955
12213818b4000
13c40c3cbc99
146469c4a640
1535e3755000
hex1e66f48600

130576320000 has 1600 divisors, whose sum is σ = 589059440640. Its totient is φ = 27869184000.

The previous prime is 130576319987. The next prime is 130576320011. The reversal of 130576320000 is 23675031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1028159937 + ... + 1028160063.

Almost surely, 2130576320000 is an apocalyptic number.

130576320000 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 130576320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294529720320).

130576320000 is an abundant number, since it is smaller than the sum of its proper divisors (458483120640).

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

130576320000 is an equidigital number, since it uses as much as digits as its factorization.

130576320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 130576320000 its reverse (23675031), we get a palindrome (130599995031).

The spelling of 130576320000 in words is "one hundred thirty billion, five hundred seventy-six million, three hundred twenty thousand".