Search a number
-
+
233566134001213 = 13373085371573829
BaseRepresentation
bin110101000110110101011010…
…011100101101111000111101
31010121222201000110121011021111
4311012311122130231320331
5221103221420301014323
62144430444540402021
7100124411351620606
oct6506653234557075
91117881013534244
10233566134001213
116846a928650522
1222242821846311
13a04326588b790
1441969384b0dad
151c008d01e9c0d
hexd46d5a72de3d

233566134001213 has 16 divisors (see below), whose sum is σ = 258331943807280. Its totient is φ = 209771681389056.

The previous prime is 233566134001201. The next prime is 233566134001243. The reversal of 233566134001213 is 312100431665332.

It can be written as a sum of positive squares in 8 ways, for example, as 7635263187204 + 225930870814009 = 2763198^2 + 15030997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233566134001213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233566134001243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147619383 + ... + 149193211.

It is an arithmetic number, because the mean of its divisors is an integer number (16145746487955).

Almost surely, 2233566134001213 is an apocalyptic number.

It is an amenable number.

233566134001213 is a deficient number, since it is larger than the sum of its proper divisors (24765809806067).

233566134001213 is a wasteful number, since it uses less digits than its factorization.

233566134001213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882416.

The product of its (nonzero) digits is 233280, while the sum is 40.

Adding to 233566134001213 its reverse (312100431665332), we get a palindrome (545666565666545).

The spelling of 233566134001213 in words is "two hundred thirty-three trillion, five hundred sixty-six billion, one hundred thirty-four million, one thousand, two hundred thirteen".

Divisors: 1 13 37 481 308537 1573829 4010981 11415869 20459777 58231673 148406297 757011749 485584478173 6312598216249 17966625692401 233566134001213