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130422528000 = 211335318869
BaseRepresentation
bin111100101110111001…
…0011101100000000000
3110110122100222220002000
41321131302131200000
54114101131344000
6135525411224000
712264664124262
oct1713562354000
9413570886060
10130422528000
1150348131726
122133a2a8000
13c3b65a30bb
146453655b32
1535d4ec7000
hex1e5dc9d800

130422528000 has 384 divisors, whose sum is σ = 482181336000. Its totient is φ = 34777497600.

The previous prime is 130422527981. The next prime is 130422528043. The reversal of 130422528000 is 825224031.

130422528000 is a `hidden beast` number, since 130 + 4 + 2 + 2 + 528 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6902566 + ... + 6921434.

Almost surely, 2130422528000 is an apocalyptic number.

130422528000 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 130422528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241090668000).

130422528000 is an abundant number, since it is smaller than the sum of its proper divisors (351758808000).

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

130422528000 is an equidigital number, since it uses as much as digits as its factorization.

130422528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18915 (or 18879 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 130422528000 in words is "one hundred thirty billion, four hundred twenty-two million, five hundred twenty-eight thousand".