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130020000 = 2535411197
BaseRepresentation
bin1111011111111…
…11001010100000
3100001122200220120
413233333022200
5231241120000
620522440240
73136103025
oct757771240
9301580816
10130020000
1167435a50
1237663080
1320c24916
14133a754c
15b6346a0
hex7bff2a0

130020000 has 240 divisors, whose sum is σ = 467625312. Its totient is φ = 31360000.

The previous prime is 130019977. The next prime is 130020013. The reversal of 130020000 is 20031.

Adding to 130020000 its reverse (20031), we get a palindrome (130040031).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 39 ways as a sum of consecutive naturals, for example, 659902 + ... + 660098.

Almost surely, 2130020000 is an apocalyptic number.

130020000 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 130020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233812656).

130020000 is an abundant number, since it is smaller than the sum of its proper divisors (337605312).

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

130020000 is a wasteful number, since it uses less digits than its factorization.

130020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 130020000 is about 11402.6312752803. The cubic root of 130020000 is about 506.6056790242.

The spelling of 130020000 in words is "one hundred thirty million, twenty thousand".