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1232113320 = 2332537233397
BaseRepresentation
bin100100101110000…
…1000111010101000
310011212102211201200
41021130020322220
510010410111240
6322132244200
742350535054
oct11134107250
93155384650
101232113320
1158254aa79
122a4770660
13168359349
14b98ccc64
1573280930
hex49708ea8

1232113320 has 192 divisors, whose sum is σ = 4140648720. Its totient is φ = 317509632.

The previous prime is 1232113307. The next prime is 1232113327. The reversal of 1232113320 is 233112321.

1232113320 is a `hidden beast` number, since 1 + 232 + 113 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 719634276 + 512479044 = 26826^2 + 22638^2 .

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 = 1232113293 and 1232113302.

It is not an unprimeable number, because it can be changed into a prime (1232113327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3103362 + ... + 3103758.

Almost surely, 21232113320 is an apocalyptic number.

1232113320 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 1232113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070324360).

1232113320 is an abundant number, since it is smaller than the sum of its proper divisors (2908535400).

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

1232113320 is a wasteful number, since it uses less digits than its factorization.

1232113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1232113320 is about 35101.4717640158. The cubic root of 1232113320 is about 1072.0545495558.

Adding to 1232113320 its reverse (233112321), we get a palindrome (1465225641).

Subtracting from 1232113320 its reverse (233112321), we obtain a palindrome (999000999).

The spelling of 1232113320 in words is "one billion, two hundred thirty-two million, one hundred thirteen thousand, three hundred twenty".