Search a number
-
+
3311322112 = 2107659701
BaseRepresentation
bin1100010101011110…
…1100010000000000
322112202211120222201
43011113230100000
523240144301422
61304325042544
7145025526220
oct30527542000
98482746881
103311322112
11144a17834a
12784b56454
1340a0478c7
14235ac6080
15145a8c727
hexc55ec400

3311322112 has 88 divisors (see below), whose sum is σ = 7587328320. Its totient is φ = 1414963200.

The previous prime is 3311322023. The next prime is 3311322127. The reversal of 3311322112 is 2112231133.

It is a self number, because there is not a number n which added to its sum of digits gives 3311322112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4723362 + ... + 4724062.

It is an arithmetic number, because the mean of its divisors is an integer number (86219640).

Almost surely, 23311322112 is an apocalyptic number.

3311322112 is a gapful number since it is divisible by the number (32) 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 3311322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793664160).

3311322112 is an abundant number, since it is smaller than the sum of its proper divisors (4276006208).

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

3311322112 is an equidigital number, since it uses as much as digits as its factorization.

3311322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1369 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 3311322112 is about 57544.0884192286. The cubic root of 3311322112 is about 1490.5062784153.

Adding to 3311322112 its reverse (2112231133), we get a palindrome (5423553245).

It can be divided in two parts, 33113 and 22112, that added together give a square (55225 = 2352).

The spelling of 3311322112 in words is "three billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 659 701 896 1024 1318 1402 1792 2636 2804 3584 4613 4907 5272 5608 7168 9226 9814 10544 11216 18452 19628 21088 22432 36904 39256 42176 44864 73808 78512 84352 89728 147616 157024 168704 179456 295232 314048 337408 358912 461959 590464 628096 674816 717824 923918 1180928 1256192 1847836 2361856 2512384 3233713 3695672 4723712 5024768 6467426 7391344 12934852 14782688 25869704 29565376 51739408 59130752 103478816 118261504 206957632 236523008 413915264 473046016 827830528 1655661056 3311322112