Search a number
-
+
20110010101220 = 225131729156888829
BaseRepresentation
bin1001001001010001110100…
…00000100010110111100100
32122012111110011212200022002
410210220322000202313210
510113440300041214340
6110434224444224432
74143620540322644
oct444507200426744
978174404780262
1020110010101220
116453675487366
12230955583b118
13b2b49a9095a0
144d7488910524
1524d192cc6715
hex124a3a022de4

20110010101220 has 96 divisors (see below), whose sum is σ = 49815341301600. Its totient is φ = 6747474714624.

The previous prime is 20110010101217. The next prime is 20110010101267. The reversal of 20110010101220 is 2210101001102.

It can be written as a sum of positive squares in 16 ways, for example, as 6746247801316 + 13363762299904 = 2597354^2 + 3655648^2 .

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, 78316235 + ... + 78572594.

It is an arithmetic number, because the mean of its divisors is an integer number (518909805225).

Almost surely, 220110010101220 is an apocalyptic number.

20110010101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110010101220 is an abundant number, since it is smaller than the sum of its proper divisors (29705331200380).

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

20110010101220 is a wasteful number, since it uses less digits than its factorization.

20110010101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156888897 (or 156888895 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20110010101220 its reverse (2210101001102), we get a palindrome (22320111102322).

The spelling of 20110010101220 in words is "twenty trillion, one hundred ten billion, ten million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 29 34 52 58 65 68 85 116 130 145 170 221 260 290 340 377 442 493 580 754 884 986 1105 1508 1885 1972 2210 2465 3770 4420 4930 6409 7540 9860 12818 25636 32045 64090 128180 156888829 313777658 627555316 784444145 1568888290 2039554777 2667110093 3137776580 4079109554 4549776041 5334220186 8158219108 9099552082 10197773885 10668440372 13335550465 18199104164 20395547770 22748880205 26671100930 34672431209 40791095540 45497760410 53342201860 59147088533 69344862418 77346192697 90995520820 118294177066 138689724836 154692385394 173362156045 236588354132 295735442665 309384770788 346724312090 386730963485 591470885330 693448624180 773461926970 1005500505061 1182941770660 1546923853940 2011001010122 4022002020244 5027502525305 10055005050610 20110010101220