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3133211112 = 2333171944909
BaseRepresentation
bin1011101011000001…
…0000000111101000
322002100200121122000
42322300100013220
522404100223422
61234523331000
7140433566163
oct27260200750
98070617560
103133211112
111368685979
12735380a60
133ac185795
1421a1a0ada
15135108cac
hexbac101e8

3133211112 has 128 divisors (see below), whose sum is σ = 9700560000. Its totient is φ = 931212288.

The previous prime is 3133211071. The next prime is 3133211117. The reversal of 3133211112 is 2111123313.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 not an unprimeable number, because it can be changed into a prime (3133211117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47314 + ... + 92222.

It is an arithmetic number, because the mean of its divisors is an integer number (75785625).

Almost surely, 23133211112 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 3133211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850280000).

3133211112 is an abundant number, since it is smaller than the sum of its proper divisors (6567348888).

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

3133211112 is a wasteful number, since it uses less digits than its factorization.

3133211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44960 (or 44950 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 3133211112 is about 55975.0936756697. The cubic root of 3133211112 is about 1463.2882525235.

Adding to 3133211112 its reverse (2111123313), we get a palindrome (5244334425).

The spelling of 3133211112 in words is "three billion, one hundred thirty-three million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 684 918 969 1026 1224 1292 1368 1836 1938 2052 2584 2907 3672 3876 4104 5814 7752 8721 11628 17442 23256 34884 44909 69768 89818 134727 179636 269454 359272 404181 538908 763453 808362 853271 1077816 1212543 1526906 1616724 1706542 2290359 2425086 2559813 3053812 3233448 3413084 4580718 4850172 5119626 6107624 6826168 6871077 7679439 9161436 9700344 10239252 13742154 14505607 15358878 18322872 20478504 20613231 23038317 27484308 29011214 30717756 41226462 43516821 46076634 54968616 58022428 61435512 82452924 87033642 92153268 116044856 130550463 164905848 174067284 184306536 261100926 348134568 391651389 522201852 783302778 1044403704 1566605556 3133211112