Search a number
-
+
10043220220 = 2251131722193
BaseRepresentation
bin10010101101001111…
…10110000011111100
3221220221002110010021
421112213312003330
5131032031021340
64340325021524
7503610651265
oct112647660374
927827073107
1010043220220
114294155000
121b435548a4
13c40940977
146b3bb396c
153dba98e4a
hex2569f60fc

10043220220 has 96 divisors (see below), whose sum is σ = 24563964096. Its totient is φ = 3437096960.

The previous prime is 10043220211. The next prime is 10043220221. The reversal of 10043220220 is 2202234001.

It is a junction number, because it is equal to n+sod(n) for n = 10043220194 and 10043220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10043220221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441444 + ... + 463636.

It is an arithmetic number, because the mean of its divisors is an integer number (255874626).

Almost surely, 210043220220 is an apocalyptic number.

10043220220 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 10043220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12281982048).

10043220220 is an abundant number, since it is smaller than the sum of its proper divisors (14520743876).

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

10043220220 is a wasteful number, since it uses less digits than its factorization.

10043220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22252 (or 22228 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10043220220 its reverse (2202234001), we get a palindrome (12245454221).

The spelling of 10043220220 in words is "ten billion, forty-three million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1331 1870 2057 2420 2662 3740 4114 5324 6655 8228 10285 13310 20570 22193 22627 26620 41140 44386 45254 88772 90508 110965 113135 221930 226270 244123 377281 443860 452540 488246 754562 976492 1220615 1509124 1886405 2441230 2685353 3772810 4150091 4882460 5370706 7545620 8300182 10741412 13426765 16600364 20750455 26853530 29538883 41500910 45651001 53707060 59077766 83001820 91302002 118155532 147694415 182604004 228255005 295388830 456510010 502161011 590777660 913020020 1004322022 2008644044 2510805055 5021610110 10043220220