Search a number
-
+
20122221020 = 225111713938707
BaseRepresentation
bin10010101111011000…
…001011100111011100
31220221100111201222012
4102233120023213130
5312202242033040
613124413010352
71311435025256
oct225730134734
956840451865
1020122221020
118596518530
123a96a839b8
131b88acb775
14d8c61ccd6
157cb85e865
hex4af60b9dc

20122221020 has 96 divisors (see below), whose sum is σ = 49162256640. Its totient is φ = 6837027840.

The previous prime is 20122221017. The next prime is 20122221029. The reversal of 20122221020 is 2012222102.

It is a junction number, because it is equal to n+sod(n) for n = 20122220986 and 20122221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122221029) 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, 500507 + ... + 539213.

It is an arithmetic number, because the mean of its divisors is an integer number (512106840).

Almost surely, 220122221020 is an apocalyptic number.

20122221020 is a gapful number since it is divisible by the number (20) 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 20122221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24581128320).

20122221020 is an abundant number, since it is smaller than the sum of its proper divisors (29040035620).

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

20122221020 is a wasteful number, since it uses less digits than its factorization.

20122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38883 (or 38881 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20122221020 its reverse (2012222102), we get a palindrome (22134443122).

It can be divided in two parts, 20122 and 221020, that added together give a palindrome (241142).

The spelling of 20122221020 in words is "twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 139 170 187 220 278 340 374 556 695 748 935 1390 1529 1870 2363 2780 3058 3740 4726 6116 7645 9452 11815 15290 23630 25993 30580 38707 47260 51986 77414 103972 129965 154828 193535 259930 387070 425777 519860 658019 774140 851554 1316038 1703108 2128885 2632076 3290095 4257770 5380273 6580190 7238209 8515540 10760546 13160380 14476418 21521092 26901365 28952836 36191045 53802730 59183003 72382090 91464641 107605460 118366006 144764180 182929282 236732012 295915015 365858564 457323205 591830030 914646410 1006111051 1183660060 1829292820 2012222102 4024444204 5030555255 10061110510 20122221020