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1213304832 = 212352353
BaseRepresentation
bin100100001010001…
…1001000000000000
310010120001021100000
41020110121000000
54441101223312
6320221200000
742031630605
oct11024310000
93116037300
101213304832
11572973973
1229a400000
131644a236c
14b71d46ac
15717b7adc
hex48519000

1213304832 has 312 divisors, whose sum is σ = 3864055104. Its totient is φ = 379551744.

The previous prime is 1213304803. The next prime is 1213304837. The reversal of 1213304832 is 2384033121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1213304796 and 1213304805.

It is not an unprimeable number, because it can be changed into a prime (1213304837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22892518 + ... + 22892570.

It is an arithmetic number, because the mean of its divisors is an integer number (12384792).

Almost surely, 21213304832 is an apocalyptic number.

1213304832 is a gapful number since it is divisible by the number (12) 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 1213304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932027552).

1213304832 is an abundant number, since it is smaller than the sum of its proper divisors (2650750272).

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

1213304832 is an frugal number, since it uses more digits than its factorization.

1213304832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1213304832 is about 34832.5254898349. The cubic root of 1213304832 is about 1066.5715026212.

Adding to 1213304832 its reverse (2384033121), we get a palindrome (3597337953).

The spelling of 1213304832 in words is "one billion, two hundred thirteen million, three hundred four thousand, eight hundred thirty-two".