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103203000120 = 233511831635779
BaseRepresentation
bin110000000011101100…
…0001100111100111000
3100212101101122121101210
41200013120030330320
53142324432000440
6115224422243120
710312316012163
oct1400730147470
9325341577353
10103203000120
113a84a448540
12180025864a0
13996928b99c
144dd05caada
152a4052ba80
hex180760cf38

103203000120 has 256 divisors, whose sum is σ = 343981209600. Its totient is φ = 24561584640.

The previous prime is 103203000113. The next prime is 103203000133. The reversal of 103203000120 is 21000302301.

It is a happy number.

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 = 103203000096 and 103203000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17855391 + ... + 17861169.

It is an arithmetic number, because the mean of its divisors is an integer number (1343676600).

Almost surely, 2103203000120 is an apocalyptic number.

103203000120 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 103203000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990604800).

103203000120 is an abundant number, since it is smaller than the sum of its proper divisors (240778209480).

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

103203000120 is a wasteful number, since it uses less digits than its factorization.

103203000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6050 (or 6046 counting only the distinct ones).

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

Adding to 103203000120 its reverse (21000302301), we get a palindrome (124203302421).

The spelling of 103203000120 in words is "one hundred three billion, two hundred three million, one hundred twenty", and thus it is an aban number.