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130132120020000 = 253547530358427
BaseRepresentation
bin11101100101101010111110…
…110010011010010000100000
3122001202111202012010201002220
4131211222332302122100200
5114024041040211120000
61140433512020311040
736260510150304240
oct3545527662322040
9561674665121086
10130132120020000
11385117a42397aa
1212718587842480
13577c538737107
14241c5dd045b20
15100a07d5cb1a0
hex765abec9a420

130132120020000 has 480 divisors, whose sum is σ = 487939635735552. Its totient is φ = 29738366592000.

The previous prime is 130132120019959. The next prime is 130132120020017. The reversal of 130132120020000 is 20021231031.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2227230787 + ... + 2227289213.

Almost surely, 2130132120020000 is an apocalyptic number.

130132120020000 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 130132120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243969817867776).

130132120020000 is an abundant number, since it is smaller than the sum of its proper divisors (357807515715552).

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

130132120020000 is an equidigital number, since it uses as much as digits as its factorization.

130132120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63770 (or 63747 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130132120020000 its reverse (20021231031), we get a palindrome (130152141251031).

The spelling of 130132120020000 in words is "one hundred thirty trillion, one hundred thirty-two billion, one hundred twenty million, twenty thousand".