Search a number
-
+
21200021122122 = 2331181332424203
BaseRepresentation
bin1001101001000000000111…
…01110100110110001001010
32210001200221220220201202000
410310200003232212301022
510234320120401401442
6113031053311251430
74315436200166313
oct464400356466112
983050856821660
1021200021122122
116833973270527
122464858219b76
13baa1cc08582b
1453412d4c360a
1526b6db844d4c
hex134803ba6c4a

21200021122122 has 32 divisors (see below), whose sum is σ = 47151049095360. Its totient is φ = 7060690050480.

The previous prime is 21200021122109. The next prime is 21200021122157. The reversal of 21200021122122 is 22122112000212.

It is a happy number.

21200021122122 is a `hidden beast` number, since 212 + 0 + 0 + 0 + 211 + 221 + 22 = 666.

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 = 21200021122095 and 21200021122104.

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 15 ways as a sum of consecutive naturals, for example, 166148328 + ... + 166275875.

It is an arithmetic number, because the mean of its divisors is an integer number (1473470284230).

Almost surely, 221200021122122 is an apocalyptic number.

21200021122122 is an abundant number, since it is smaller than the sum of its proper divisors (25951027973238).

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

21200021122122 is a wasteful number, since it uses less digits than its factorization.

21200021122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332425395 (or 332425389 counting only the distinct ones).

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

Adding to 21200021122122 its reverse (22122112000212), we get a palindrome (43322133122334).

The spelling of 21200021122122 in words is "twenty-one trillion, two hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 1181 2362 3543 7086 10629 21258 31887 63774 332424203 664848406 997272609 1994545218 2991817827 5983635654 8975453481 17950906962 392592983743 785185967486 1177778951229 2355557902458 3533336853687 7066673707374 10600010561061 21200021122122