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2201102112220 = 22511101163607727
BaseRepresentation
bin100000000001111011111…
…010001101010111011100
321210102102120221122012121
4200001323322031113130
5242030324120042340
64403101121112324
7315011235153154
oct40017372152734
97712376848177
102201102112220
1177953383a230
122b67087886a4
1312c741cc374b
147876909d764
153c3c80a394a
hex2007be8d5dc

2201102112220 has 96 divisors (see below), whose sum is σ = 5123701287936. Its totient is φ = 787612896000.

The previous prime is 2201102112203. The next prime is 2201102112221. The reversal of 2201102112220 is 222112011022.

It is a happy number.

2201102112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2201102112194 and 2201102112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201102112221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3317997 + ... + 3925723.

It is an arithmetic number, because the mean of its divisors is an integer number (53371888416).

Almost surely, 22201102112220 is an apocalyptic number.

2201102112220 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 2201102112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561850643968).

2201102112220 is an abundant number, since it is smaller than the sum of its proper divisors (2922599175716).

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

2201102112220 is a wasteful number, since it uses less digits than its factorization.

2201102112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608011 (or 608009 counting only the distinct ones).

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

Adding to 2201102112220 its reverse (222112011022), we get a palindrome (2423214123242).

The spelling of 2201102112220 in words is "two trillion, two hundred one billion, one hundred two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 163 202 220 326 404 505 652 815 1010 1111 1630 1793 2020 2222 3260 3586 4444 5555 7172 8965 11110 16463 17930 22220 32926 35860 65852 82315 164630 181093 329260 362186 607727 724372 905465 1215454 1810930 2430908 3038635 3621860 6077270 6684997 12154540 13369994 26739988 33424985 61380427 66849970 99059501 122760854 133699940 198119002 245521708 306902135 396238004 495297505 613804270 675184697 990595010 1089654511 1227608540 1350369394 1981190020 2179309022 2700738788 3375923485 4358618044 5448272555 6751846970 10005009601 10896545110 13503693940 20010019202 21793090220 40020038404 50025048005 100050096010 110055105611 200100192020 220110211222 440220422444 550275528055 1100551056110 2201102112220