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2120220020 = 225106011001
BaseRepresentation
bin111111001011111…
…1111110101110100
312110202120100002102
41332113333311310
513320234020040
6550215401232
7103353400322
oct17627776564
95422510072
102120220020
11998899756
124b2083218
1327a34a479
14161830d12
15c620d515
hex7e5ffd74

2120220020 has 12 divisors (see below), whose sum is σ = 4452462084. Its totient is φ = 848088000.

The previous prime is 2120219989. The next prime is 2120220023. The reversal of 2120220020 is 200220212.

It can be written as a sum of positive squares in 2 ways, for example, as 1350268516 + 769951504 = 36746^2 + 27748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120219983 and 2120220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53005481 + ... + 53005520.

It is an arithmetic number, because the mean of its divisors is an integer number (371038507).

Almost surely, 22120220020 is an apocalyptic number.

2120220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120220020 is an abundant number, since it is smaller than the sum of its proper divisors (2332242064).

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

2120220020 is a wasteful number, since it uses less digits than its factorization.

2120220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106011010 (or 106011008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2120220020 is about 46045.8469354186. The cubic root of 2120220020 is about 1284.6760971590.

Adding to 2120220020 its reverse (200220212), we get a palindrome (2320440232).

The spelling of 2120220020 in words is "two billion, one hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 106011001 212022002 424044004 530055005 1060110010 2120220020