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2220101101220 = 2251961105191129
BaseRepresentation
bin100000010011101000010…
…101100110011010100100
321212020110122220021111212
4200103220111212122210
5242333231340214340
64415522251250552
7316253113665512
oct40235025463244
97766418807455
102220101101220
117865a3214932
122ba32b449a58
1313147c198c82
147964c4534b2
153cb3aedda65
hex204e85666a4

2220101101220 has 96 divisors (see below), whose sum is σ = 4992845020800. Its totient is φ = 826713216000.

The previous prime is 2220101101193. The next prime is 2220101101241. The reversal of 2220101101220 is 221011010222.

It is a junction number, because it is equal to n+sod(n) for n = 2220101101195 and 2220101101204.

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 31 ways as a sum of consecutive naturals, for example, 24316616 + ... + 24407744.

It is an arithmetic number, because the mean of its divisors is an integer number (52008802300).

Almost surely, 22220101101220 is an apocalyptic number.

2220101101220 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 2220101101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496422510400).

2220101101220 is an abundant number, since it is smaller than the sum of its proper divisors (2772743919580).

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

2220101101220 is a wasteful number, since it uses less digits than its factorization.

2220101101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92269 (or 92267 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2220101101220 its reverse (221011010222), we get a palindrome (2441112111442).

The spelling of 2220101101220 in words is "two trillion, two hundred twenty billion, one hundred one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 190 244 305 380 610 1051 1159 1220 2102 2318 4204 4636 5255 5795 10510 11590 19969 21020 23180 39938 64111 79876 91129 99845 128222 182258 199690 256444 320555 364516 399380 455645 641110 911290 1218109 1282220 1731451 1822580 2436218 3462902 4872436 5558869 6090545 6925804 8657255 11117738 12181090 17314510 22235476 24362180 27794345 34629020 55588690 95776579 105618511 111177380 191553158 211237022 383106316 422474044 478882895 528092555 957765790 1056185110 1819755001 1915531580 2112370220 3639510002 5842371319 7279020004 9098775005 11684742638 18197550010 23369485276 29211856595 36395100020 58423713190 111005055061 116847426380 222010110122 444020220244 555025275305 1110050550610 2220101101220