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21112221002022 = 2333126214811843
BaseRepresentation
bin1001100110011100100100…
…11011101110100100100110
32202202022022222111111112000
410303032102123232210212
510231400312034031042
6112522453114110130
74306210342401633
oct463162233564446
982668288444460
1021112221002022
1167aa7083a77a7
12244b83411b346
13ba1b48c52347
1452dba083118a
1526929d6ae74c
hex1333926ee926

21112221002022 has 64 divisors (see below), whose sum is σ = 48447955077120. Its totient is φ = 6807794061600.

The previous prime is 21112221001973. The next prime is 21112221002027. The reversal of 21112221002022 is 22020012221112.

It is a happy number.

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 = 21112221001986 and 21112221002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112221002027) 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 31 ways as a sum of consecutive naturals, for example, 1981633 + ... + 6793475.

It is an arithmetic number, because the mean of its divisors is an integer number (756999298080).

Almost surely, 221112221002022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112221002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24223977538560).

21112221002022 is an abundant number, since it is smaller than the sum of its proper divisors (27335734075098).

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

21112221002022 is a wasteful number, since it uses less digits than its factorization.

21112221002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814506 (or 4814500 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21112221002022 its reverse (22020012221112), we get a palindrome (43132233223134).

The spelling of 21112221002022 in words is "twenty-one trillion, one hundred twelve billion, two hundred twenty-one million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2621 5242 7863 15726 23589 47178 70767 81251 141534 162502 243753 487506 731259 1462518 2193777 4387554 4811843 9623686 14435529 28871058 43306587 86613174 129919761 149167133 259839522 298334266 447501399 895002798 1342504197 2685008394 4027512591 8055025182 12611840503 25223681006 37835521509 75671043018 113506564527 227013129054 340519693581 390967055593 681039387162 781934111186 1172901166779 2345802333558 3518703500337 7037407000674 10556110501011 21112221002022