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2112021122022 = 2327216721436691
BaseRepresentation
bin11110101110111110010…
…001001100101111100110
321110220111101100110112100
4132232332101030233212
5234100404401401042
64254125450232530
7305405565221400
oct36567621145746
97426441313470
102112021122022
11744780954879
122a13a7725746
131242166c2666
1474318269b70
1539e1275b24c
hex1ebbe44cbe6

2112021122022 has 144 divisors (see below), whose sum is σ = 5358330012672. Its totient is φ = 599451723360.

The previous prime is 2112021122009. The next prime is 2112021122023. The reversal of 2112021122022 is 2202211202112.

It is a happy number.

2112021122022 is a `hidden beast` number, since 211 + 2 + 0 + 211 + 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 = 2112021121986 and 2112021122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112021122023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 315647697 + ... + 315654387.

It is an arithmetic number, because the mean of its divisors is an integer number (37210625088).

Almost surely, 22112021122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112021122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679165006336).

2112021122022 is an abundant number, since it is smaller than the sum of its proper divisors (3246308890650).

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

2112021122022 is a wasteful number, since it uses less digits than its factorization.

2112021122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023 (or 9013 counting only the distinct ones).

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

Adding to 2112021122022 its reverse (2202211202112), we get a palindrome (4314232324134).

The spelling of 2112021122022 in words is "two trillion, one hundred twelve billion, twenty-one million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 167 294 334 441 501 882 1002 1169 1503 2143 2338 3006 3507 4286 6429 6691 7014 8183 10521 12858 13382 15001 16366 19287 20073 21042 24549 30002 38574 40146 45003 46837 49098 60219 73647 90006 93674 105007 120438 135009 140511 147294 210014 270018 281022 315021 327859 357881 421533 630042 655718 715762 843066 945063 983577 1073643 1117397 1890126 1967154 2147286 2234794 2505167 2950731 3220929 3352191 5010334 5901462 6441858 6704382 7515501 7821779 10056573 14338813 15031002 15643558 17536169 20113146 22546503 23465337 28677626 35072338 43016439 45093006 46930674 52608507 54752453 70396011 86032878 100371691 105217014 109504906 129049317 140792022 157825521 164257359 200743382 258098634 301115073 315651042 328514718 492772077 602230146 702601837 903345219 985544154 1405203674 1806690438 2107805511 2394581771 4215611022 4789163542 6323416533 7183745313 12646833066 14367490626 16762072397 21551235939 33524144794 43102471878 50286217191 100572434382 117334506779 150858651573 234669013558 301717303146 352003520337 704007040674 1056010561011 2112021122022