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130404003000 = 233531071093727
BaseRepresentation
bin111100101110010101…
…1110010110010111000
3110110121002010201112220
41321130223302302320
54114031411044000
6135523510204040
712264350510445
oct1713453626270
9413532121486
10130404003000
1150338729607
1221334053620
13c3b27b816b
146450dd29cc
1535d35681a0
hex1e5caf2cb8

130404003000 has 256 divisors, whose sum is σ = 414541670400. Its totient is φ = 34124198400.

The previous prime is 130404002987. The next prime is 130404003007. The reversal of 130404003000 is 300404031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130404003007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34987137 + ... + 34990863.

It is an arithmetic number, because the mean of its divisors is an integer number (1619303400).

Almost surely, 2130404003000 is an apocalyptic number.

130404003000 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 130404003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207270835200).

130404003000 is an abundant number, since it is smaller than the sum of its proper divisors (284137667400).

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

130404003000 is a wasteful number, since it uses less digits than its factorization.

130404003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 130404003000 its reverse (300404031), we get a palindrome (130704407031).

The spelling of 130404003000 in words is "one hundred thirty billion, four hundred four million, three thousand".