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20130232100 = 2252111719531069
BaseRepresentation
bin10010101111110110…
…101111011100100100
31220221220120202002212
4102233312233130210
5312211314411400
613125300422552
71311563102216
oct225766573444
956856522085
1020130232100
11859aa9a360
123a996a7a58
131b8a674c54
14d8d7065b6
157cc3e3335
hex4afdaf724

20130232100 has 288 divisors, whose sum is σ = 54165283200. Its totient is φ = 6397747200.

The previous prime is 20130232097. The next prime is 20130232103. The reversal of 20130232100 is 123203102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20130232097) and next prime (20130232103).

It is not an unprimeable number, because it can be changed into a prime (20130232103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18830366 + ... + 18831434.

It is an arithmetic number, because the mean of its divisors is an integer number (188073900).

Almost surely, 220130232100 is an apocalyptic number.

20130232100 is a gapful number since it is divisible by the number (20) 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 20130232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27082641600).

20130232100 is an abundant number, since it is smaller than the sum of its proper divisors (34035051100).

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

20130232100 is a wasteful number, since it uses less digits than its factorization.

20130232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20130232100 its reverse (123203102), we get a palindrome (20253435202).

The spelling of 20130232100 in words is "twenty billion, one hundred thirty million, two hundred thirty-two thousand, one hundred".