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213230002320 = 243254710758889
BaseRepresentation
bin1100011010010101111…
…1111010000010010000
3202101101100212102211100
43012211133322002100
511443143340033240
6241542334544400
721256016054226
oct3064537720220
9671340772740
10213230002320
1182480860815
12353aa368100
131715225120a
14a46b1dcb16
15582eba9e30
hex31a57fa090

213230002320 has 240 divisors, whose sum is σ = 738180967680. Its totient is φ = 55130474496.

The previous prime is 213230002313. The next prime is 213230002399. The reversal of 213230002320 is 23200032312.

It is a happy number.

213230002320 is a `hidden beast` number, since 2 + 132 + 300 + 0 + 232 + 0 = 666.

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 = 213230002293 and 213230002302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3591436 + ... + 3650324.

It is an arithmetic number, because the mean of its divisors is an integer number (3075754032).

Almost surely, 2213230002320 is an apocalyptic number.

213230002320 is a gapful number since it is divisible by the number (20) 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 213230002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369090483840).

213230002320 is an abundant number, since it is smaller than the sum of its proper divisors (524950965360).

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

213230002320 is a wasteful number, since it uses less digits than its factorization.

213230002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59062 (or 59053 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 213230002320 its reverse (23200032312), we get a palindrome (236430034632).

The spelling of 213230002320 in words is "two hundred thirteen billion, two hundred thirty million, two thousand, three hundred twenty".