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11022112 = 253141271
BaseRepresentation
bin101010000010…
…111100100000
3202201222111101
4222002330200
510310201422
61032124144
7162454303
oct52027440
922658441
1011022112
116249092
123836654
13238bb7a
14166cb3a
15e7ac27
hexa82f20

11022112 has 48 divisors (see below), whose sum is σ = 23030784. Its totient is φ = 5184000.

The previous prime is 11022101. The next prime is 11022113. The reversal of 11022112 is 21122011.

It is not an unprimeable number, because it can be changed into a prime (11022113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40537 + ... + 40807.

It is an arithmetic number, because the mean of its divisors is an integer number (479808).

Almost surely, 211022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515392).

11022112 is an abundant number, since it is smaller than the sum of its proper divisors (12008672).

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

11022112 is a wasteful number, since it uses less digits than its factorization.

11022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11022112 is about 3319.9566262227. The cubic root of 11022112 is about 222.5469294605.

Adding to 11022112 its reverse (21122011), we get a palindrome (32144123).

It can be divided in two parts, 110 and 22112, that added together give a palindrome (22222).

The spelling of 11022112 in words is "eleven million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 271 328 496 542 656 992 1084 1271 1312 2168 2542 4336 5084 8401 8672 10168 11111 16802 20336 22222 33604 40672 44444 67208 88888 134416 177776 268832 344441 355552 688882 1377764 2755528 5511056 11022112