Search a number
-
+
201120220022022 = 232717421223025321
BaseRepresentation
bin101101101110101011110011…
…010001011000010100000110
3222101002220102221020101000200
4231232223303101120110012
5202330123202311201042
61551425204212151330
760235312353353550
oct5556536321302406
9871086387211020
10201120220022022
11590a0674011144
121a682542908546
13882b72b1b9512
1437943b06c84d0
15183b8e9c6cc4c
hexb6eaf3458506

201120220022022 has 96 divisors (see below), whose sum is σ = 528559307924544. Its totient is φ = 53954285414400.

The previous prime is 201120220021999. The next prime is 201120220022047. The reversal of 201120220022022 is 220220022021102.

201120220022022 is a `hidden beast` number, since 20 + 1 + 1 + 202 + 200 + 220 + 22 = 666.

201120220022022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 201120220021986 and 201120220022004.

It is a congruent 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, 110610879 + ... + 112414442.

It is an arithmetic number, because the mean of its divisors is an integer number (5505826124214).

Almost surely, 2201120220022022 is an apocalyptic number.

201120220022022 is an abundant number, since it is smaller than the sum of its proper divisors (327439087902522).

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

201120220022022 is a wasteful number, since it uses less digits than its factorization.

201120220022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223025774 (or 223025771 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201120220022022 its reverse (220220022021102), we get a palindrome (421340242043124).

The spelling of 201120220022022 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 421 714 842 1071 1263 2142 2526 2947 3789 5894 7157 7578 8841 14314 17682 21471 26523 42942 50099 53046 64413 100198 128826 150297 300594 450891 901782 223025321 446050642 669075963 1338151926 1561177247 2007227889 3122354494 3791430457 4014455778 4683531741 7582860914 9367063482 11374291371 14050595223 22748582742 26540013199 28101190446 34122874113 53080026398 68245748226 79620039597 93893660141 159240079194 187787320282 238860118791 281680980423 477720237582 563361960846 657255620987 845042941269 1314511241974 1596192222397 1690085882538 1971766862961 3192384444794 3943533725922 4788576667191 5915300588883 9577153334382 11173345556779 11830601177766 14365730001573 22346691113558 28731460003146 33520036670337 67040073340674 100560110011011 201120220022022