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20020111300 = 2252727397577
BaseRepresentation
bin10010101001010010…
…101010011111000100
31220200020101000202201
4102221102222133010
5312000122030200
613110324244244
71306055065300
oct225122523704
956606330681
1020020111300
118543915a32
123a68840684
131b708c9907
14d7cc3cd00
157c28dec6a
hex4a94aa7c4

20020111300 has 216 divisors, whose sum is σ = 51846593064. Its totient is φ = 6688604160.

The previous prime is 20020111289. The next prime is 20020111301. The reversal of 20020111300 is 311102002.

It can be written as a sum of positive squares in 12 ways, for example, as 607819716 + 19412291584 = 24654^2 + 139328^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020111301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34696612 + ... + 34697188.

Almost surely, 220020111300 is an apocalyptic number.

20020111300 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 20020111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25923296532).

20020111300 is an abundant number, since it is smaller than the sum of its proper divisors (31826481764).

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

20020111300 is a wasteful number, since it uses less digits than its factorization.

20020111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20020111300 its reverse (311102002), we get a palindrome (20331213302).

The spelling of 20020111300 in words is "twenty billion, twenty million, one hundred eleven thousand, three hundred".