Search a number
-
+
11122022200122 = 23223532232273017
BaseRepresentation
bin1010000111011000110000…
…1011101011001100111010
31110101020212211221200212200
42201312030023223030322
52424210400140400442
635353215250451030
72225353035602031
oct241661413531472
943336784850780
1011122022200122
1135a89066439a9
1212b7632893a76
13628a57559432
142a64472b5718
15144498e5a34c
hexa1d8c2eb33a

11122022200122 has 96 divisors (see below), whose sum is σ = 25734782481408. Its totient is φ = 3463639964928.

The previous prime is 11122022200117. The next prime is 11122022200127. The reversal of 11122022200122 is 22100222022111.

It is a happy number.

11122022200122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11122022200117) and next prime (11122022200127).

It is a super-2 number, since 2×111220222001222 (a number of 27 digits) contains 22 as substring.

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 = 11122022200095 and 11122022200104.

It is not an unprimeable number, because it can be changed into a prime (11122022200127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3756558 + ... + 6029574.

It is an arithmetic number, because the mean of its divisors is an integer number (268070650848).

Almost surely, 211122022200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122022200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867391240704).

11122022200122 is an abundant number, since it is smaller than the sum of its proper divisors (14612760281286).

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

11122022200122 is a wasteful number, since it uses less digits than its factorization.

11122022200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273324 (or 2273321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11122022200122 its reverse (22100222022111), we get a palindrome (33222244222233).

The spelling of 11122022200122 in words is "eleven trillion, one hundred twenty-two billion, twenty-two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 223 318 414 446 477 669 954 1219 1338 2007 2438 3657 4014 5129 7314 10258 10971 11819 15387 21942 23638 30774 35457 46161 70914 92322 106371 212742 271837 543674 815511 1631022 2273017 2446533 4546034 4893066 6819051 13638102 20457153 40914306 52279391 104558782 120469901 156838173 240939802 313676346 361409703 470514519 506882791 722819406 941029038 1013765582 1084229109 1520648373 2168458218 2770807723 3041296746 4561945119 5541615446 8312423169 9123890238 11658304193 16624846338 23316608386 24937269507 26864787923 34974912579 49874539014 53729575846 69949825158 80594363769 104924737737 161188727538 209849475474 241783091307 483566182614 617890122229 1235780244458 1853670366687 3707340733374 5561011100061 11122022200122