Search a number
-
+
130014241220000 = 2554137308315391
BaseRepresentation
bin11101100011111101001100…
…101010011110010110100000
3122001100020111000101012222102
4131203331030222132112200
5114020123131223020000
61140303415020425532
736246135046113344
oct3543751452362640
9561306430335872
10130014241220000
1138476803782635
12126b976a3a82a8
1357713a0b51297
142416a19707624
151006e7e9793d5
hex763f4ca9e5a0

130014241220000 has 240 divisors, whose sum is σ = 322314685684992. Its totient is φ = 51605994240000.

The previous prime is 130014241219997. The next prime is 130014241220033. The reversal of 130014241220000 is 22142410031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8447412305 + ... + 8447427695.

Almost surely, 2130014241220000 is an apocalyptic number.

130014241220000 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 130014241220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161157342842496).

130014241220000 is an abundant number, since it is smaller than the sum of its proper divisors (192300444464992).

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

130014241220000 is a wasteful number, since it uses less digits than its factorization.

130014241220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18641 (or 18618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 130014241220000 its reverse (22142410031), we get a palindrome (130036383630031).

The spelling of 130014241220000 in words is "one hundred thirty trillion, fourteen billion, two hundred forty-one million, two hundred twenty thousand".