Search a number
-
+
22134443121 = 3272181277301
BaseRepresentation
bin10100100111010100…
…001100110001110001
32010010120212012202200
4110213110030301301
5330312404134441
614100213533413
71412340443100
oct244724146161
963116765680
1022134443121
1194293527aa
124358944269
132119964c2b
1410dd97a037
158983387b6
hex52750cc71

22134443121 has 36 divisors (see below), whose sum is σ = 37397502324. Its totient is φ = 12578328000.

The previous prime is 22134443119. The next prime is 22134443183. The reversal of 22134443121 is 12134443122.

22134443121 is a `hidden beast` number, since 2 + 2 + 1 + 344 + 4 + 312 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11179890225 + 10954552896 = 105735^2 + 104664^2 .

It is not a de Polignac number, because 22134443121 - 21 = 22134443119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22134443521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58830 + ... + 218471.

It is an arithmetic number, because the mean of its divisors is an integer number (1038819509).

Almost surely, 222134443121 is an apocalyptic number.

22134443121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22134443121 is a deficient number, since it is larger than the sum of its proper divisors (15263059203).

22134443121 is a wasteful number, since it uses less digits than its factorization.

22134443121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277502 (or 277492 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22134443121 its reverse (12134443122), we get a palindrome (34268886243).

Subtracting from 22134443121 its reverse (12134443122), we obtain a palindrome (9999999999).

It can be divided in two parts, 2213444 and 3121, that added together give a triangular number (2216565 = T2105).

The spelling of 22134443121 in words is "twenty-two billion, one hundred thirty-four million, four hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 181 441 543 1267 1629 3801 8869 11403 26607 79821 277301 831903 1941107 2495709 5823321 13587749 17469963 40763247 50191481 122289741 150574443 351340367 451723329 1054021101 2459382569 3162063303 7378147707 22134443121