Search a number
-
+
213313111313103 = 33471283131017489
BaseRepresentation
bin110000100000000111010100…
…001110011100101011001111
31000222021112102111022022221000
4300200013110032130223033
5210424410222444004403
62033402405052111343
762634235516330314
oct6040072416345317
91028245374268830
10213313111313103
1161a7164530299a
121bb11615465553
13920445621c819
143a965a4210d0b
15199db6bec37a3
hexc201d439cacf

213313111313103 has 32 divisors (see below), whose sum is σ = 322994797747200. Its totient is φ = 139074539442048.

The previous prime is 213313111313101. The next prime is 213313111313129. The reversal of 213313111313103 is 301313111313312.

213313111313103 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 1 + 311 + 1 + 31 + 310 + 3 = 666.

It is not a de Polignac number, because 213313111313103 - 21 = 213313111313101 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313111313101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63880618 + ... + 67136871.

It is an arithmetic number, because the mean of its divisors is an integer number (10093587429600).

Almost surely, 2213313111313103 is an apocalyptic number.

213313111313103 is a deficient number, since it is larger than the sum of its proper divisors (109681686434097).

213313111313103 is a wasteful number, since it uses less digits than its factorization.

213313111313103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131018828 (or 131018822 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 213313111313103 its reverse (301313111313312), we get a palindrome (514626222626415).

The spelling of 213313111313103 in words is "two hundred thirteen trillion, three hundred thirteen billion, one hundred eleven million, three hundred thirteen thousand, one hundred three".

Divisors: 1 3 9 27 47 141 423 1269 1283 3849 11547 34641 60301 180903 542709 1628127 131017489 393052467 1179157401 3537472203 6157821983 18473465949 55420397847 166261193541 168095438387 504286315161 1512858945483 4538576836449 7900485604189 23701456812567 71104370437701 213313111313103