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4010113224 = 2333136432221
BaseRepresentation
bin1110111100000101…
…0111100011001000
3101100110201212012000
43233001113203020
531203042110344
61501530351000
7201242254125
oct35701274310
911313655160
104010113224
111778671467
1293ab8b460
134bba52980
142a082774c
151870c1a69
hexef0578c8

4010113224 has 128 divisors (see below), whose sum is σ = 12020131200. Its totient is φ = 1231407360.

The previous prime is 4010113207. The next prime is 4010113241. The reversal of 4010113224 is 4223110104.

4010113224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4010113207) and next prime (4010113241).

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

It is a junction number, because it is equal to n+sod(n) for n = 4010113197 and 4010113206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1804434 + ... + 1806654.

It is an arithmetic number, because the mean of its divisors is an integer number (93907275).

Almost surely, 24010113224 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 4010113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010065600).

4010113224 is an abundant number, since it is smaller than the sum of its proper divisors (8010017976).

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

4010113224 is a wasteful number, since it uses less digits than its factorization.

4010113224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4010113224 is about 63325.4547871549. The cubic root of 4010113224 is about 1588.7377379513.

Adding to 4010113224 its reverse (4223110104), we get a palindrome (8233223328).

The spelling of 4010113224 in words is "four billion, ten million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 643 702 936 1286 1404 1929 2221 2572 2808 3858 4442 5144 5787 6663 7716 8359 8884 11574 13326 15432 16718 17361 17768 19989 23148 25077 26652 28873 33436 34722 39978 46296 50154 53304 57746 59967 66872 69444 75231 79956 86619 100308 115492 119934 138888 150462 159912 173238 200616 225693 230984 239868 259857 300924 346476 451386 479736 519714 601848 692952 779571 902772 1039428 1428103 1559142 1805544 2078856 2856206 3118284 4284309 5712412 6236568 8568618 11424824 12852927 17137236 18565339 25705854 34274472 37130678 38558781 51411708 55696017 74261356 77117562 102823416 111392034 148522712 154235124 167088051 222784068 308470248 334176102 445568136 501264153 668352204 1002528306 1336704408 2005056612 4010113224