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11112312 = 2332341491
BaseRepresentation
bin101010011000…
…111101111000
3202220120020010
4222120331320
510321043222
61034101520
7163311261
oct52307570
922816203
1011112312
1162aa932
12387a8a0
1323c0c43
141693968
15e9780c
hexa98f78

11112312 has 64 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 3449600.

The previous prime is 11112287. The next prime is 11112317. The reversal of 11112312 is 21321111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22387 + ... + 22877.

It is an arithmetic number, because the mean of its divisors is an integer number (464940).

Almost surely, 211112312 is an apocalyptic number.

11112312 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 11112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

11112312 is an abundant number, since it is smaller than the sum of its proper divisors (18643848).

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

11112312 is a wasteful number, since it uses less digits than its factorization.

11112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its digits is 12, while the sum is 12.

The square root of 11112312 is about 3333.5134617997. The cubic root of 11112312 is about 223.1523555504.

Adding to 11112312 its reverse (21321111), we get a palindrome (32433423).

The spelling of 11112312 in words is "eleven million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 491 492 552 943 982 984 1473 1886 1964 2829 2946 3772 3928 5658 5892 7544 11293 11316 11784 20131 22586 22632 33879 40262 45172 60393 67758 80524 90344 120786 135516 161048 241572 271032 463013 483144 926026 1389039 1852052 2778078 3704104 5556156 11112312