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2120054200 = 2352111967757
BaseRepresentation
bin111111001011101…
…0111010110111000
312110202020220121221
41332113113112320
513320213213300
6550212041424
7103352110015
oct17627272670
95422226557
102120054200
11998796110
124b2003274
1327a2bcb54
141617ca70c
15c61c931a
hex7e5d75b8

2120054200 has 192 divisors, whose sum is σ = 5752310400. Its totient is φ = 718502400.

The previous prime is 2120054179. The next prime is 2120054201. The reversal of 2120054200 is 24500212.

2120054200 is a modest number, since divided by 54200 gives 21200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120054201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2800222 + ... + 2800978.

It is an arithmetic number, because the mean of its divisors is an integer number (29959950).

Almost surely, 22120054200 is an apocalyptic number.

2120054200 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 2120054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876155200).

2120054200 is an abundant number, since it is smaller than the sum of its proper divisors (3632256200).

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

2120054200 is a wasteful number, since it uses less digits than its factorization.

2120054200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2120054200 is about 46044.0463035125. The cubic root of 2120054200 is about 1284.6426052663.

Adding to 2120054200 its reverse (24500212), we get a palindrome (2144554412).

The spelling of 2120054200 in words is "two billion, one hundred twenty million, fifty-four thousand, two hundred".