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1222101115105 = 513231742110837
BaseRepresentation
bin10001110010001010111…
…001110010000011100001
311022211110022212002022011
4101302022321302003201
5130010330341140410
62333231524112521
7154202543036653
oct21621271620341
94284408762264
101222101115105
11431321245a82
12178a27235741
138b322380c00
14432158aa6d3
1521bca13e18a
hex11c8ae720e1

1222101115105 has 48 divisors (see below), whose sum is σ = 1596949040304. Its totient is φ = 897408046080.

The previous prime is 1222101115063. The next prime is 1222101115129. The reversal of 1222101115105 is 5015111012221.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 980925833889 + 241175281216 = 990417^2 + 491096^2 .

It is not a de Polignac number, because 1222101115105 - 29 = 1222101114593 is a prime.

It is a super-2 number, since 2×12221011151052 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112765747 + ... + 112776583.

It is an arithmetic number, because the mean of its divisors is an integer number (33269771673).

Almost surely, 21222101115105 is an apocalyptic number.

It is an amenable number.

1222101115105 is a deficient number, since it is larger than the sum of its proper divisors (374847925199).

1222101115105 is a wasteful number, since it uses less digits than its factorization.

1222101115105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11606 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 22.

Adding to 1222101115105 its reverse (5015111012221), we get a palindrome (6237212127326).

The spelling of 1222101115105 in words is "one trillion, two hundred twenty-two billion, one hundred one million, one hundred fifteen thousand, one hundred five".

Divisors: 1 5 13 65 169 317 421 845 1585 2105 4121 5473 10837 20605 27365 53573 54185 71149 133457 140881 267865 355745 667285 704405 1734941 1831453 3435329 4562377 8674705 9157265 17176645 22554233 22811885 44659277 59310901 112771165 223296385 296554505 580570601 771041713 1446273509 2902853005 3855208565 7231367545 18801555617 94007778085 244420223021 1222101115105