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130203000120 = 233519672932909
BaseRepresentation
bin111100101000010110…
…1000001110100111000
3110110002001220201102210
41321100231001310320
54113123432000440
6135451530055120
712256360145304
oct1712055016470
9413061821383
10130203000120
1150245221126
122129887a4a0
13c37cc6c54b
14643242cd04
1535c0ab1a80
hex1e50b41d38

130203000120 has 256 divisors, whose sum is σ = 418872384000. Its totient is φ = 32280754176.

The previous prime is 130203000097. The next prime is 130203000131. The reversal of 130203000120 is 21000302031.

It is a happy number.

130203000120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130203000096 and 130203000105.

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 63 ways as a sum of consecutive naturals, for example, 44757226 + ... + 44760134.

It is an arithmetic number, because the mean of its divisors is an integer number (1636220250).

Almost surely, 2130203000120 is an apocalyptic number.

130203000120 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 130203000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209436192000).

130203000120 is an abundant number, since it is smaller than the sum of its proper divisors (288669383880).

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

130203000120 is a wasteful number, since it uses less digits than its factorization.

130203000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130203000120 its reverse (21000302031), we get a palindrome (151203302151).

The spelling of 130203000120 in words is "one hundred thirty billion, two hundred three million, one hundred twenty", and thus it is an aban number.