Search a number
-
+
213535313334 = 232723314157973
BaseRepresentation
bin1100011011011110110…
…0100100110110110110
3202102011122100211210200
43012313230210312312
511444310020011314
6242032522501330
721266414133630
oct3066754446666
9672148324720
10213535313334
1182618132472
1235474664846
13171a058b515
14a499995a50
15584b8b7709
hex31b7b24db6

213535313334 has 192 divisors, whose sum is σ = 583442915328. Its totient is φ = 55096588800.

The previous prime is 213535313267. The next prime is 213535313347. The reversal of 213535313334 is 433313535312.

213535313334 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 3 + 5 + 313 + 334 = 666.

213535313334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3654372 + ... + 3712344.

It is an arithmetic number, because the mean of its divisors is an integer number (3038765184).

Almost surely, 2213535313334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213535313334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291721457664).

213535313334 is an abundant number, since it is smaller than the sum of its proper divisors (369907601994).

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

213535313334 is a wasteful number, since it uses less digits than its factorization.

213535313334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58083 (or 58080 counting only the distinct ones).

The product of its digits is 145800, while the sum is 36.

Adding to 213535313334 its reverse (433313535312), we get a palindrome (646848848646).

The spelling of 213535313334 in words is "two hundred thirteen billion, five hundred thirty-five million, three hundred thirteen thousand, three hundred thirty-four".