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2100011220 = 22325293783131
BaseRepresentation
bin111110100101011…
…1010000011010100
312102100112121211100
41331022322003110
513300100324340
6544214310100
7103016541456
oct17512720324
95370477740
102100011220
1198844656a
124a7358330
132760c2cb8
1415cc902d6
15c456a830
hex7d2ba0d4

2100011220 has 288 divisors, whose sum is σ = 6901614720. Its totient is φ = 515773440.

The previous prime is 2100011219. The next prime is 2100011227. The reversal of 2100011220 is 221100012.

2100011220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100011227) 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, 16030555 + ... + 16030685.

It is an arithmetic number, because the mean of its divisors is an integer number (23963940).

Almost surely, 22100011220 is an apocalyptic number.

2100011220 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 2100011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450807360).

2100011220 is an abundant number, since it is smaller than the sum of its proper divisors (4801603500).

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

2100011220 is a wasteful number, since it uses less digits than its factorization.

2100011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100011220 is about 45825.8793696313. The cubic root of 2100011220 is about 1280.5814456339.

Adding to 2100011220 its reverse (221100012), we get a palindrome (2321111232).

The spelling of 2100011220 in words is "two billion, one hundred million, eleven thousand, two hundred twenty".