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12111331122100 = 2252722471700229
BaseRepresentation
bin1011000000111110001110…
…0101101101101110110100
31120212211110111020002102001
42300033203211231232310
53041413001231401400
641431511350225044
72360005034644300
oct260174345555664
946784414202361
1012111331122100
11394a428749721
121437310355184
1369b12a9003b2
142dc2978a4d00
1516009bd04a6a
hexb03e396dbb4

12111331122100 has 54 divisors (see below), whose sum is σ = 30572460144870. Its totient is φ = 4152456383040.

The previous prime is 12111331122083. The next prime is 12111331122113. The reversal of 12111331122100 is 122113311121.

It can be written as a sum of positive squares in 3 ways, for example, as 4048127904016 + 8063203218084 = 2011996^2 + 2839578^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1235845215 + ... + 1235855014.

Almost surely, 212111331122100 is an apocalyptic number.

12111331122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111331122100 is an abundant number, since it is smaller than the sum of its proper divisors (18461129022770).

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

12111331122100 is a wasteful number, since it uses less digits than its factorization.

12111331122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471700257 (or 2471700243 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 12111331122100 its reverse (122113311121), we get a palindrome (12233444433221).

The spelling of 12111331122100 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2471700229 4943400458 9886800916 12358501145 17301901603 24717002290 34603803206 49434004580 61792505725 69207606412 86509508015 121113311221 123585011450 173019016030 242226622442 247170022900 346038032060 432547540075 484453244884 605566556105 865095080150 1211133112210 1730190160300 2422266224420 3027832780525 6055665561050 12111331122100