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112212111122202 = 237136110930909413
BaseRepresentation
bin11001100000111001101011…
…000001011101111100011010
3112201022101001221220001221010
4121200321223001131330122
5104201440400421402302
61034353310542154350
732431025502023040
oct3140715301357432
9481271057801833
10112212111122202
1132832986401583
1210703560b829b6
134a7c7310255a0
141d9d149178390
15ce8d6403516c
hex660e6b05df1a

112212111122202 has 128 divisors (see below), whose sum is σ = 283318161477120. Its totient is φ = 28842190525440.

The previous prime is 112212111122171. The next prime is 112212111122207. The reversal of 112212111122202 is 202221111212211.

112212111122202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1122121111222024 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (112212111122207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11824353 + ... + 19085060.

It is an arithmetic number, because the mean of its divisors is an integer number (2213423136540).

Almost surely, 2112212111122202 is an apocalyptic number.

112212111122202 is an abundant number, since it is smaller than the sum of its proper divisors (171106050354918).

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

112212111122202 is a wasteful number, since it uses less digits than its factorization.

112212111122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30909608.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 112212111122202 its reverse (202221111212211), we get a palindrome (314433222334413).

Subtracting 112212111122202 from its reverse (202221111212211), we obtain a palindrome (90009000090009).

The spelling of 112212111122202 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 109 122 182 183 218 273 327 366 427 546 654 763 793 854 1281 1417 1526 1586 2289 2379 2562 2834 4251 4578 4758 5551 6649 8502 9919 11102 13298 16653 19838 19947 29757 33306 39894 46543 59514 86437 93086 139629 172874 259311 279258 518622 605059 1210118 1815177 3630354 30909413 61818826 92728239 185456478 216365891 401822369 432731782 649097673 803644738 1205467107 1298195346 1885474193 2410934214 2812756583 3369126017 3770948386 5625513166 5656422579 6738252034 8438269749 10107378051 11312845158 13198319351 16876539498 20214756102 23583882119 24511164509 26396638702 39594958053 43798638221 47167764238 49022329018 70751646357 73533493527 79189916106 87597276442 131395914663 141503292714 147066987054 171578151563 205516687037 262791829326 306590467547 343156303126 411033374074 514734454689 613180935094 616550061111 919771402641 1029468909378 1233100122222 1438616809259 1839542805282 2671716931481 2877233618518 4315850427777 5343433862962 8015150794443 8631700855554 16030301588886 18702018520367 37404037040734 56106055561101 112212111122202