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3110012220 = 2235759312487
BaseRepresentation
bin1011100101011111…
…0000010100111100
322000202000222201210
42321113300110330
522332130342340
61232334204420
7140032445010
oct27127602474
98022028653
103110012220
111356580237
12729653710
133a7422323
14217082540
15133075180
hexb95f053c

3110012220 has 96 divisors (see below), whose sum is σ = 9969619968. Its totient is φ = 709604352.

The previous prime is 3110012161. The next prime is 3110012221. The reversal of 3110012220 is 222100113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3110012196 and 3110012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3110012221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 242817 + ... + 255303.

It is an arithmetic number, because the mean of its divisors is an integer number (103850208).

Almost surely, 23110012220 is an apocalyptic number.

3110012220 is a gapful number since it is divisible by the number (30) 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 3110012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984809984).

3110012220 is an abundant number, since it is smaller than the sum of its proper divisors (6859607748).

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

3110012220 is a wasteful number, since it uses less digits than its factorization.

3110012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13099 (or 13097 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3110012220 is about 55767.4835365556. The cubic root of 3110012220 is about 1459.6678139605.

Adding to 3110012220 its reverse (222100113), we get a palindrome (3332112333).

The spelling of 3110012220 in words is "three billion, one hundred ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 593 1186 1779 2372 2965 3558 4151 5930 7116 8302 8895 11860 12453 12487 16604 17790 20755 24906 24974 35580 37461 41510 49812 49948 62265 62435 74922 83020 87409 124530 124870 149844 174818 187305 249060 249740 262227 349636 374610 437045 524454 749220 874090 1048908 1311135 1748180 2622270 5244540 7404791 14809582 22214373 29619164 37023955 44428746 51833537 74047910 88857492 103667074 111071865 148095820 155500611 207334148 222143730 259167685 311001222 444287460 518335370 622002444 777503055 1036670740 1555006110 3110012220