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1111322112 = 2935912263
BaseRepresentation
bin100001000111101…
…0110111000000000
32212110011000100020
41002033112320000
54233444301422
6302135253440
736353040105
oct10217267000
92773130306
101111322112
1152034882a
1227021a280
13149316264
14a7848aac
156787095c
hex423d6e00

1111322112 has 80 divisors (see below), whose sum is σ = 3011057280. Its totient is φ = 364132352.

The previous prime is 1111322111. The next prime is 1111322129. The reversal of 1111322112 is 2112231111.

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 junction number, because it is equal to n+sod(n) for n = 1111322091 and 1111322100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111322111) 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, 84493 + ... + 96755.

It is an arithmetic number, because the mean of its divisors is an integer number (37638216).

Almost surely, 21111322112 is an apocalyptic number.

1111322112 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 1111322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505528640).

1111322112 is an abundant number, since it is smaller than the sum of its proper divisors (1899735168).

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

1111322112 is an equidigital number, since it uses as much as digits as its factorization.

1111322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12343 (or 12327 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 1111322112 is about 33336.4981964213. The cubic root of 1111322112 is about 1035.8097273837.

Adding to 1111322112 its reverse (2112231111), we get a palindrome (3223553223).

The spelling of 1111322112 in words is "one billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 512 708 768 944 1416 1536 1888 2832 3776 5664 7552 11328 12263 15104 22656 24526 30208 36789 45312 49052 73578 90624 98104 147156 196208 294312 392416 588624 723517 784832 1177248 1447034 1569664 2170551 2354496 2894068 3139328 4341102 4708992 5788136 6278656 8682204 9417984 11576272 17364408 18835968 23152544 34728816 46305088 69457632 92610176 138915264 185220352 277830528 370440704 555661056 1111322112