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10010012220 = 223251331137993
BaseRepresentation
bin10010101001010010…
…01010101000111100
3221211121121022022100
421110221022220330
5131000030342340
64333141145100
7503025462045
oct112451125074
927747538270
1010010012220
11427743337a
121b343bb190
13c36ab4770
146ad60b8cc
153d8bd9830
hex254a4aa3c

10010012220 has 144 divisors (see below), whose sum is σ = 33754436352. Its totient is φ = 2384501760.

The previous prime is 10010012213. The next prime is 10010012237. The reversal of 10010012220 is 2221001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3544 + ... + 141536.

It is an arithmetic number, because the mean of its divisors is an integer number (234405808).

Almost surely, 210010012220 is an apocalyptic number.

10010012220 is a gapful number since it is divisible by the number (10) 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 10010012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16877218176).

10010012220 is an abundant number, since it is smaller than the sum of its proper divisors (23744424132).

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

10010012220 is a wasteful number, since it uses less digits than its factorization.

10010012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138052 (or 138047 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010012220 its reverse (2221001001), we get a palindrome (12231013221).

The spelling of 10010012220 in words is "ten billion, ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 12090 14508 18135 24180 36270 72540 137993 275986 413979 551972 689965 827958 1241937 1379930 1655916 1793909 2069895 2483874 2759860 3587818 4139790 4277783 4967748 5381727 6209685 7175636 8279580 8555566 8969545 10763454 12419370 12833349 16145181 17111132 17939090 21388915 21526908 24838740 25666698 26908635 32290362 35878180 38500047 42777830 51333396 53817270 55611179 64166745 64580724 77000094 80725905 85555660 107634540 111222358 128333490 154000188 161451810 166833537 192500235 222444716 256666980 278055895 322903620 333667074 385000470 500500611 556111790 667334148 770000940 834167685 1001001222 1112223580 1668335370 2002002444 2502503055 3336670740 5005006110 10010012220