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2122112102020 = 225293658813969
BaseRepresentation
bin11110111000010111101…
…111001110111010000100
321111212112122022100202021
4132320113233032322010
5234232041144231040
64302515043052524
7306213626150221
oct36702757167204
97455478270667
102122112102020
11748a89a5a469
122a3343071144
131251641b5b41
14749d4512948
153a3035db24a
hex1ee17bcee84

2122112102020 has 24 divisors (see below), whose sum is σ = 4610105602200. Its totient is φ = 819574328832.

The previous prime is 2122112101987. The next prime is 2122112102039. The reversal of 2122112102020 is 202012112212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65933914176 + 2056178187844 = 256776^2 + 1433938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2122112101985 and 2122112102003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1829406405 + ... + 1829407564.

It is an arithmetic number, because the mean of its divisors is an integer number (192087733425).

Almost surely, 22122112102020 is an apocalyptic number.

2122112102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112102020 is an abundant number, since it is smaller than the sum of its proper divisors (2487993500180).

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

2122112102020 is a wasteful number, since it uses less digits than its factorization.

2122112102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658814007 (or 3658814005 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122112102020 its reverse (202012112212), we get a palindrome (2324124214232).

The spelling of 2122112102020 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3658813969 7317627938 14635255876 18294069845 36588139690 73176279380 106105605101 212211210202 424422420404 530528025505 1061056051010 2122112102020