Search a number
-
+
20102221020 = 22357470310177
BaseRepresentation
bin10010101110001011…
…111000110011011100
31220212221212122010110
4102232023320303130
5312132132033040
613122420210020
71311103026240
oct225613706334
956787778113
1020102221020
1185861a8202
123a90239910
131b8491834b
14d89ad4420
157c9c0d980
hex4ae2f8cdc

20102221020 has 96 divisors (see below), whose sum is σ = 64347107328. Its totient is φ = 4593364992.

The previous prime is 20102221001. The next prime is 20102221159. The reversal of 20102221020 is 2012220102.

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 = 20102220987 and 20102221005.

It is a congruent number.

It is an unprimeable number.

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, 1970172 + ... + 1980348.

It is an arithmetic number, because the mean of its divisors is an integer number (670282368).

Almost surely, 220102221020 is an apocalyptic number.

20102221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102221020 is an abundant number, since it is smaller than the sum of its proper divisors (44244886308).

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

20102221020 is a wasteful number, since it uses less digits than its factorization.

20102221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14899 (or 14897 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20102221020 its reverse (2012220102), we get a palindrome (22114441122).

The spelling of 20102221020 in words is "twenty billion, one hundred two million, two hundred twenty-one thousand, 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 4703 9406 10177 14109 18812 20354 23515 28218 30531 32921 40708 47030 50885 56436 61062 65842 70545 71239 94060 98763 101770 122124 131684 141090 142478 152655 164605 197526 203540 213717 282180 284956 305310 329210 356195 395052 427434 493815 610620 658420 712390 854868 987630 1068585 1424780 1975260 2137170 4274340 47862431 95724862 143587293 191449724 239312155 287174586 335037017 478624310 574349172 670074034 717936465 957248620 1005111051 1340148068 1435872930 1675185085 2010222102 2871745860 3350370170 4020444204 5025555255 6700740340 10051110510 20102221020