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11021232112 = 24111917319051
BaseRepresentation
bin10100100001110101…
…01010011111110000
31001110002101121012221
422100322222133300
5140032413411422
65021343130424
7540054633022
oct122072523760
931402347187
1011021232112
11474621a8a0
122176ba3a14
13106844c827
14767a3a012
154478853c7
hex290eaa7f0

11021232112 has 80 divisors (see below), whose sum is σ = 24663957120. Its totient is φ = 4718304000.

The previous prime is 11021232109. The next prime is 11021232121. The reversal of 11021232112 is 21123212011.

11021232112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568987 + ... + 588037.

It is an arithmetic number, because the mean of its divisors is an integer number (308299464).

Almost surely, 211021232112 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 11021232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331978560).

11021232112 is an abundant number, since it is smaller than the sum of its proper divisors (13642725008).

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

11021232112 is a wasteful number, since it uses less digits than its factorization.

11021232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19262 (or 19256 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11021232112 its reverse (21123212011), we get a palindrome (32144444123).

The spelling of 11021232112 in words is "eleven billion, twenty-one million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 173 176 209 304 346 418 692 836 1384 1672 1903 2768 3287 3344 3806 6574 7612 13148 15224 19051 26296 30448 36157 38102 52592 72314 76204 144628 152408 209561 289256 304816 361969 419122 578512 723938 838244 1447876 1676488 2895752 3295823 3352976 3981659 5791504 6591646 7963318 13183292 15926636 26366584 31853272 36254053 52733168 62620637 63706544 72508106 125241274 145016212 250482548 290032424 500965096 580064848 688827007 1001930192 1377654014 2755308028 5510616056 11021232112