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103112011200 = 263521112715377
BaseRepresentation
bin110000000000111110…
…1000110110111000000
3100212011001102220001210
41200001331012313000
53142133133324300
6115211412130120
710310132430312
oct1400175066700
9325131386053
10103112011200
113a803051190
1217b98006940
1399534818a3
144dc24a37b2
152a37557050
hex1801f46dc0

103112011200 has 336 divisors, whose sum is σ = 371977334784. Its totient is φ = 24798412800.

The previous prime is 103112011199. The next prime is 103112011201. The reversal of 103112011200 is 2110211301.

It is an interprime number because it is at equal distance from previous prime (103112011199) and next prime (103112011201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112011201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6697912 + ... + 6713288.

Almost surely, 2103112011200 is an apocalyptic number.

103112011200 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 103112011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988667392).

103112011200 is an abundant number, since it is smaller than the sum of its proper divisors (268865323584).

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

103112011200 is a wasteful number, since it uses less digits than its factorization.

103112011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 15525 counting only the distinct ones).

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

Adding to 103112011200 its reverse (2110211301), we get a palindrome (105222222501).

The spelling of 103112011200 in words is "one hundred three billion, one hundred twelve million, eleven thousand, two hundred".