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211323202323112 = 23112252186596229
BaseRepresentation
bin110000000011001010000100…
…011010000100001010101000
31000201020022010022110220100101
4300003022010122010022220
5210144304404243314422
62025240312224315144
762340411645104425
oct6003120432041250
91021208108426311
10211323202323112
1161374737588300
121b84ba28a72ab4
1390bb90048c4b9
143a28151a14d4c
151967004d7ec27
hexc032846842a8

211323202323112 has 48 divisors (see below), whose sum is σ = 435699405659700. Its totient is φ = 96017897606400.

The previous prime is 211323202323061. The next prime is 211323202323127.

211323202323112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 170688110634756 + 40635091688356 = 13064766^2 + 6374566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40857787 + ... + 45738442.

Almost surely, 2211323202323112 is an apocalyptic number.

211323202323112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211323202323112 is an abundant number, since it is smaller than the sum of its proper divisors (224376203336588).

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

211323202323112 is a wasteful number, since it uses less digits than its factorization.

211323202323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86598778 (or 86598763 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 21132320 and 2323112, that added together give a palindrome (23455432).

The spelling of 211323202323112 in words is "two hundred eleven trillion, three hundred twenty-three billion, two hundred two million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 2521 5042 10084 20168 27731 55462 110924 221848 305041 610082 1220164 2440328 86596229 173192458 346384916 692769832 952558519 1905117038 3810234076 7620468152 10478143709 20956287418 41912574836 83825149672 218309093309 436618186618 873236373236 1746472746472 2401400026399 4802800052798 9605600105596 19211200211192 26415400290389 52830800580778 105661601161556 211323202323112