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112232002320 = 243253722918397
BaseRepresentation
bin110100010000110001…
…1000111001100010000
3101201200122022102221200
41220201203013030100
53314322343033240
6123320401151200
711052133164564
oct1504143071420
9351618272850
10112232002320
1143663048529
121990232b500
13a777a54a39
1456097d16a4
152dbd036930
hex1a218c7310

112232002320 has 240 divisors, whose sum is σ = 388810821360. Its totient is φ = 28990918656.

The previous prime is 112232002277. The next prime is 112232002327. The reversal of 112232002320 is 23200232211.

112232002320 is a `hidden beast` number, since 1 + 1 + 22 + 320 + 0 + 2 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41537700864 + 70694301456 = 203808^2 + 265884^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 112232002293 and 112232002302.

It is not an unprimeable number, because it can be changed into a prime (112232002327) 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, 6091362 + ... + 6109758.

It is an arithmetic number, because the mean of its divisors is an integer number (1620045089).

Almost surely, 2112232002320 is an apocalyptic number.

112232002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112232002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194405410680).

112232002320 is an abundant number, since it is smaller than the sum of its proper divisors (276578819040).

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

112232002320 is a wasteful number, since it uses less digits than its factorization.

112232002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18682 (or 18673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112232002320 its reverse (23200232211), we get a palindrome (135432234531).

The spelling of 112232002320 in words is "one hundred twelve billion, two hundred thirty-two million, two thousand, three hundred twenty".