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200202212111022 = 232112236833663571
BaseRepresentation
bin101101100001010100110101…
…101111000111001010101110
3222020212010220101101121220200
4231201110311233013022232
5202220103112300023042
61545443343200454330
760112063310022012
oct5541246557071256
9866763811347820
10200202212111022
1158877310526280
121a55464391a3a6
138792cab990094
143761ba5816542
151822abb823c4c
hexb61535bc72ae

200202212111022 has 96 divisors (see below), whose sum is σ = 475397505063936. Its totient is φ = 60386356396800.

The previous prime is 200202212110949. The next prime is 200202212111023. The reversal of 200202212111022 is 220111212202002.

It is a happy number.

200202212111022 is a `hidden beast` number, since 200 + 2 + 0 + 221 + 211 + 10 + 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 = 200202212110986 and 200202212111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202212111023) 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, 301372497 + ... + 302036067.

It is an arithmetic number, because the mean of its divisors is an integer number (4952057344416).

Almost surely, 2200202212111022 is an apocalyptic number.

200202212111022 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 200202212111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237698752531968).

200202212111022 is an abundant number, since it is smaller than the sum of its proper divisors (275195292952914).

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

200202212111022 is a wasteful number, since it uses less digits than its factorization.

200202212111022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670646 (or 670643 counting only the distinct ones).

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

Adding to 200202212111022 its reverse (220111212202002), we get a palindrome (420313424313024).

The spelling of 200202212111022 in words is "two hundred trillion, two hundred two billion, two hundred twelve million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 223 446 669 1338 2007 2453 4014 4906 6833 7359 13666 14718 20499 22077 40998 44154 61497 75163 122994 150326 225489 450978 663571 676467 1327142 1352934 1523759 1990713 3047518 3981426 4571277 5972139 7299281 9142554 11944278 13713831 14598562 16761349 21897843 27427662 33522698 43795686 50284047 65693529 100568094 131387058 147976333 150852141 295952666 301704282 443928999 887857998 1331786997 1627739663 2663573994 3255479326 4534180643 4883218989 9068361286 9766437978 13602541929 14649656967 27205083858 29299313934 40807625787 49875987073 81615251574 99751974146 149627961219 299255922438 448883883657 897767767314 1011122283389 2022244566778 3033366850167 6066733700334 9100100550501 11122345117279 18200201101002 22244690234558 33367035351837 66734070703674 100101106055511 200202212111022