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11112012 = 2233313319
BaseRepresentation
bin101010011000…
…111001001100
3202220112211000
4222120321030
510321041022
61034100300
7163310352
oct52307114
922815730
1011112012
1162aa68a
12387a690
1323c0a72
1416937d2
15e976ac
hexa98e4c

11112012 has 48 divisors (see below), whose sum is σ = 29747200. Its totient is φ = 3583440.

The previous prime is 11112011. The next prime is 11112019. The reversal of 11112012 is 21021111.

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 = 11111985 and 11112003.

It is not an unprimeable number, because it can be changed into a prime (11112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1689 + ... + 5007.

Almost surely, 211112012 is an apocalyptic number.

11112012 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 11112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873600).

11112012 is an abundant number, since it is smaller than the sum of its proper divisors (18635188).

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

11112012 is a wasteful number, since it uses less digits than its factorization.

11112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3355 counting only the distinct ones).

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

The square root of 11112012 is about 3333.4684639276. The cubic root of 11112012 is about 223.1503473781.

Adding to 11112012 its reverse (21021111), we get a palindrome (32133123).

Subtracting 11112012 from its reverse (21021111), we obtain a palindrome (9909099).

The spelling of 11112012 in words is "eleven million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3319 3348 6638 9957 13276 19914 29871 39828 59742 89613 102889 119484 179226 205778 308667 358452 411556 617334 926001 1234668 1852002 2778003 3704004 5556006 11112012