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2220101121220 = 2251013972768413
BaseRepresentation
bin100000010011101000010…
…101101011010011000100
321212020110122221021221121
4200103220111223103010
5242333231341334340
64415522251523324
7316253114111023
oct40235025532304
97766418837847
102220101121220
117865a3228964
122ba32b459544
1313147c1a50c8
147964c45a8ba
153cb3aee494a
hex204e856b4c4

2220101121220 has 48 divisors (see below), whose sum is σ = 4720234459248. Its totient is φ = 877032921600.

The previous prime is 2220101121211. The next prime is 2220101121241. The reversal of 2220101121220 is 221211010222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 66902926336 + 2153198194884 = 258656^2 + 1467378^2 .

It is a super-2 number, since 2×22201011212202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220101121194 and 2220101121203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582267 + ... + 2186146.

It is an arithmetic number, because the mean of its divisors is an integer number (98338217901).

Almost surely, 22220101121220 is an apocalyptic number.

2220101121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220101121220 is an abundant number, since it is smaller than the sum of its proper divisors (2500133338028).

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

2220101121220 is a wasteful number, since it uses less digits than its factorization.

2220101121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768920 (or 2768918 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2220101121220 its reverse (221211010222), we get a palindrome (2441312131442).

The spelling of 2220101121220 in words is "two trillion, two hundred twenty billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 397 404 505 794 1010 1588 1985 2020 3970 7940 40097 80194 160388 200485 400970 801940 2768413 5536826 11073652 13842065 27684130 55368260 279609713 559219426 1099059961 1118438852 1398048565 2198119922 2796097130 4396239844 5495299805 5592194260 10990599610 21981199220 111005056061 222010112122 444020224244 555025280305 1110050560610 2220101121220