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111100212 = 2232231091231
BaseRepresentation
bin1101001111101…
…00000100110100
321202001110211200
412213310010310
5211420201322
615005132500
72516223216
oct647640464
9252043750
10111100212
1157793263
123125a130
131a02c092
1410a805b6
159b488ac
hex69f4134

111100212 has 72 divisors (see below), whose sum is σ = 295975680. Its totient is φ = 35069760.

The previous prime is 111100207. The next prime is 111100237. The reversal of 111100212 is 212001111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111100194 and 111100203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89637 + ... + 90867.

Almost surely, 2111100212 is an apocalyptic number.

111100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147987840).

111100212 is an abundant number, since it is smaller than the sum of its proper divisors (184875468).

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

111100212 is a wasteful number, since it uses less digits than its factorization.

111100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111100212 is about 10540.4085309821. The cubic root of 111100212 is about 480.7341370168.

Adding to 111100212 its reverse (212001111), we get a palindrome (323101323).

The spelling of 111100212 in words is "one hundred eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 109 138 207 218 276 327 414 436 654 828 981 1231 1308 1962 2462 2507 3693 3924 4924 5014 7386 7521 10028 11079 14772 15042 22158 22563 28313 30084 44316 45126 56626 84939 90252 113252 134179 169878 254817 268358 339756 402537 509634 536716 805074 1019268 1207611 1610148 2415222 3086117 4830444 6172234 9258351 12344468 18516702 27775053 37033404 55550106 111100212