Search a number
-
+
22011122110212 = 223217317113457053
BaseRepresentation
bin1010000000100110111010…
…00111010100111100000100
32212221020112221112002120200
411000103131013110330010
510341112234230011322
6114451434144330500
74431152060633154
oct500233507247404
985836487462520
1022011122110212
117016956669944
122575aa0313a30
13c38841b57cc1
145614b5cc6764
1528285e4c38ac
hex1404dd1d4f04

22011122110212 has 72 divisors (see below), whose sum is σ = 59097964115736. Its totient is φ = 6883666258944.

The previous prime is 22011122110183. The next prime is 22011122110223. The reversal of 22011122110212 is 21201122111022.

22011122110212 is a `hidden beast` number, since 220 + 1 + 1 + 1 + 221 + 10 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222242473476 + 21788879636736 = 471426^2 + 4667856^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56534523 + ... + 56922530.

It is an arithmetic number, because the mean of its divisors is an integer number (820805057163).

Almost surely, 222011122110212 is an apocalyptic number.

It is an amenable number.

22011122110212 is an abundant number, since it is smaller than the sum of its proper divisors (37086842005524).

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

22011122110212 is a wasteful number, since it uses less digits than its factorization.

22011122110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113457397 (or 113457392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22011122110212 its reverse (21201122111022), we get a palindrome (43212244221234).

The spelling of 22011122110212 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 317 612 634 951 1268 1902 2853 3804 5389 5706 10778 11412 16167 21556 32334 48501 64668 97002 194004 113457053 226914106 340371159 453828212 680742318 1021113477 1361484636 1928769901 2042226954 3857539802 4084453908 5786309703 7715079604 11572619406 17358929109 23145238812 34717858218 35965885801 69435716436 71931771602 107897657403 143863543204 215795314806 323692972209 431590629612 611420058617 647385944418 1222840117234 1294771888836 1834260175851 2445680234468 3668520351702 5502780527553 7337040703404 11005561055106 22011122110212