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2120021222022 = 23211263227317911
BaseRepresentation
bin11110110110011011000…
…111001010001010000110
321111200010220221122121100
4132312123013022022012
5234213300413101042
64301531352200530
7306111050026164
oct36663307121206
97450126848540
102120021222022
11748106790370
122a2a5a999146
13124bbcc6c142
147487695c234
153a22ec7624c
hex1ed9b1ca286

2120021222022 has 96 divisors (see below), whose sum is σ = 5032506226176. Its totient is φ = 639670694400.

The previous prime is 2120021221999. The next prime is 2120021222027. The reversal of 2120021222022 is 2202221200212.

2120021222022 is a `hidden beast` number, since 212 + 0 + 0 + 212 + 220 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120021221986 and 2120021222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120021222027) 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, 118355247 + ... + 118373157.

It is an arithmetic number, because the mean of its divisors is an integer number (52421939856).

Almost surely, 22120021222022 is an apocalyptic number.

2120021222022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120021222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516253113088).

2120021222022 is an abundant number, since it is smaller than the sum of its proper divisors (2912485004154).

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

2120021222022 is a wasteful number, since it uses less digits than its factorization.

2120021222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20466 (or 20463 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2120021222022 its reverse (2202221200212), we get a palindrome (4322242422234).

The spelling of 2120021222022 in words is "two trillion, one hundred twenty billion, twenty-one million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 263 526 789 1578 2273 2367 2893 4546 4734 5786 6819 8679 13638 17358 17911 20457 25003 26037 35822 40914 50006 52074 53733 75009 107466 150018 161199 197021 225027 322398 394042 450054 591063 597799 1182126 1195598 1773189 1793397 3546378 3586794 4710593 5380191 6575789 9421186 10760382 13151578 14131779 19727367 28263558 39454734 40711703 42395337 51816523 59182101 81423406 84790674 103633046 118364202 122135109 155449569 244270218 310899138 366405327 447828733 466348707 732810654 895657466 932697414 1343486199 2686972398 4030458597 8060917194 10707177889 21414355778 32121533667 64243067334 96364601001 117778956779 192729202002 235557913558 353336870337 706673740674 1060010611011 2120021222022