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2020120200 = 2332527179431
BaseRepresentation
bin111100001101000…
…1001011010001000
312012210012201221200
41320122021122020
513114122321300
6532242104200
7101026511160
oct17032113210
95183181850
102020120200
1194733a22a
1248464b060
132626a03c7
141524155a0
15bc539200
hex78689688

2020120200 has 288 divisors, whose sum is σ = 8210367360. Its totient is φ = 434534400.

The previous prime is 2020120189. The next prime is 2020120213. The reversal of 2020120200 is 20210202.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 209485 + ... + 218915.

It is an arithmetic number, because the mean of its divisors is an integer number (28508220).

Almost surely, 22020120200 is an apocalyptic number.

2020120200 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 2020120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105183680).

2020120200 is an abundant number, since it is smaller than the sum of its proper divisors (6190247160).

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

2020120200 is a wasteful number, since it uses less digits than its factorization.

2020120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2020120200 is about 44945.7472960457. The cubic root of 2020120200 is about 1264.1319379048.

Adding to 2020120200 its reverse (20210202), we get a palindrome (2040330402).

It can be divided in two parts, 20201 and 20200, that added together give a square (40401 = 2012).

The spelling of 2020120200 in words is "two billion, twenty million, one hundred twenty thousand, two hundred".