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20332101300 = 223527471131823
BaseRepresentation
bin10010111011111000…
…110011111010110100
31221110222102202120220
4102323320303322310
5313120004220200
613201311254340
71316564003160
oct227370637264
957428382526
1020332101300
118693a39705
123b3521a3b0
131bc0434c94
14dac453ca0
157deebb4a0
hex4bbe33eb4

20332101300 has 288 divisors, whose sum is σ = 69307564032. Its totient is φ = 4505733120.

The previous prime is 20332101277. The next prime is 20332101311. The reversal of 20332101300 is 310123302.

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 20332101300.

It is a congruent number.

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, 11152189 + ... + 11154011.

It is an arithmetic number, because the mean of its divisors is an integer number (240651264).

Almost surely, 220332101300 is an apocalyptic number.

20332101300 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 20332101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34653782016).

20332101300 is an abundant number, since it is smaller than the sum of its proper divisors (48975462732).

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

20332101300 is a wasteful number, since it uses less digits than its factorization.

20332101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20332101300 its reverse (310123302), we get a palindrome (20642224602).

The spelling of 20332101300 in words is "twenty billion, three hundred thirty-two million, one hundred one thousand, three hundred".