Search a number
-
+
21202120002222 = 233715530026083
BaseRepresentation
bin1001101001000100000001…
…10101001100101010101110
32210001220101012022212222000
410310202000311030222232
510234333420210032342
6113032041445433130
74315542204320265
oct464420065145256
983056335285860
1021202120002222
116834850004185
12246514310b7a6
13baa474b70a13
1453428c15b5dc
1526b7b0c3a44c
hex134880d4caae

21202120002222 has 32 divisors (see below), whose sum is σ = 47779425365760. Its totient is φ = 6967832863320.

The previous prime is 21202120002211. The next prime is 21202120002227. The reversal of 21202120002222 is 22220002120212.

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 = 21202120002195 and 21202120002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202120002227) by changing a digit.

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, 2765009208 + ... + 2765016875.

It is an arithmetic number, because the mean of its divisors is an integer number (1493107042680).

Almost surely, 221202120002222 is an apocalyptic number.

21202120002222 is an abundant number, since it is smaller than the sum of its proper divisors (26577305363538).

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

21202120002222 is a wasteful number, since it uses less digits than its factorization.

21202120002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530026165 (or 5530026159 counting only the distinct ones).

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

Adding to 21202120002222 its reverse (22220002120212), we get a palindrome (43422122122434).

The spelling of 21202120002222 in words is "twenty-one trillion, two hundred two billion, one hundred twenty million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3834 5530026083 11060052166 16590078249 33180156498 49770234747 99540469494 149310704241 298621408482 392631851893 785263703786 1177895555679 2355791111358 3533686667037 7067373334074 10601060001111 21202120002222