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1122132321 = 324110130109
BaseRepresentation
bin100001011100010…
…0110000101100001
32220012111020011100
41002320212011201
54244231213241
6303203105013
736543652542
oct10270460541
92805436140
101122132321
11526461692
12273972169
1314b62c82b
14a90604c9
15687a89b6
hex42e26161

1122132321 has 24 divisors (see below), whose sum is σ = 1676886120. Its totient is φ = 722592000.

The previous prime is 1122132299. The next prime is 1122132329. The reversal of 1122132321 is 1232312211.

It can be written as a sum of positive squares in 4 ways, for example, as 117939600 + 1004192721 = 10860^2 + 31689^2 .

It is not a de Polignac number, because 1122132321 - 226 = 1055023457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122132294 and 1122132303.

It is not an unprimeable number, because it can be changed into a prime (1122132329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22215 + ... + 52323.

It is an arithmetic number, because the mean of its divisors is an integer number (69870255).

Almost surely, 21122132321 is an apocalyptic number.

It is an amenable number.

1122132321 is a deficient number, since it is larger than the sum of its proper divisors (554753799).

1122132321 is a wasteful number, since it uses less digits than its factorization.

1122132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30257 (or 30254 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1122132321 is about 33498.2435509685. The cubic root of 1122132321 is about 1039.1574540067.

Adding to 1122132321 its reverse (1232312211), we get a palindrome (2354444532).

The spelling of 1122132321 in words is "one billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 41 101 123 303 369 909 4141 12423 30109 37269 90327 270981 1234469 3041009 3703407 9123027 11110221 27369081 124681369 374044107 1122132321