Search a number
-
+
135781359813 = 321111239122033
BaseRepresentation
bin111111001110100110…
…0110010000011000101
3110222110211120202100100
41332131030302003011
54211040012003223
6142213241434313
712544534341531
oct1763514620305
9428424522310
10135781359813
1152648046350
1222394a9b999
13ca5b88aab8
146801242bc1
1537ea6ae043
hex1f9d3320c5

135781359813 has 24 divisors (see below), whose sum is σ = 213979296960. Its totient is φ = 82283736960.

The previous prime is 135781359773. The next prime is 135781359817. The reversal of 135781359813 is 318953187531.

It is a happy number.

135781359813 is a `hidden beast` number, since 1 + 3 + 578 + 1 + 3 + 59 + 8 + 13 = 666.

It is not a de Polignac number, because 135781359813 - 232 = 131486392517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135781359813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135781359817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051645 + ... + 1173677.

It is an arithmetic number, because the mean of its divisors is an integer number (8915804040).

Almost surely, 2135781359813 is an apocalyptic number.

It is an amenable number.

135781359813 is a deficient number, since it is larger than the sum of its proper divisors (78197937147).

135781359813 is a wasteful number, since it uses less digits than its factorization.

135781359813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133289 (or 133286 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

It can be divided in two parts, 135781 and 359813, that added together give a palindrome (495594).

The spelling of 135781359813 in words is "one hundred thirty-five billion, seven hundred eighty-one million, three hundred fifty-nine thousand, eight hundred thirteen".

Divisors: 1 3 9 11 33 99 11239 33717 101151 122033 123629 366099 370887 1098297 1112661 1342363 4027089 12081267 1371528887 4114586661 12343759983 15086817757 45260453271 135781359813