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20320232100 = 223527192512029
BaseRepresentation
bin10010111011001011…
…100010001010100100
31221110011002202002220
4102323023202022210
5313103434411400
613200205032340
71316361060120
oct227313421244
957404082086
1020320232100
118688272153
123b312556b0
131bbab3a69c
14daaa44580
157dde247a0
hex4bb2e22a4

20320232100 has 288 divisors, whose sum is σ = 71045452800. Its totient is φ = 4380480000.

The previous prime is 20320232069. The next prime is 20320232143. The reversal of 20320232100 is 123202302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20320232100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10013886 + ... + 10015914.

It is an arithmetic number, because the mean of its divisors is an integer number (246685600).

Almost surely, 220320232100 is an apocalyptic number.

20320232100 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 20320232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35522726400).

20320232100 is an abundant number, since it is smaller than the sum of its proper divisors (50725220700).

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

20320232100 is a wasteful number, since it uses less digits than its factorization.

20320232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2316 counting only the distinct ones).

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

Adding to 20320232100 its reverse (123202302), we get a palindrome (20443434402).

The spelling of 20320232100 in words is "twenty billion, three hundred twenty million, two hundred thirty-two thousand, one hundred".