Search a number
-
+
135218881 = 7213212089
BaseRepresentation
bin10000000111101…
…00011011000001
3100102102211102201
420003310123001
5234104001011
621230113201
73231225100
oct1003643301
9312384381
10135218881
116a366a46
123934b801
1322025095
1413d5c037
15bd0ecc1
hex80f46c1

135218881 has 12 divisors (see below), whose sum is σ = 157489860. Its totient is φ = 115758720.

The previous prime is 135218827. The next prime is 135218887. The reversal of 135218881 is 188812531.

It can be written as a sum of positive squares in 2 ways, for example, as 122323600 + 12895281 = 11060^2 + 3591^2 .

It is not a de Polignac number, because 135218881 - 27 = 135218753 is a prime.

It is a super-2 number, since 2×1352188812 = 36568291557784322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135218881.

It is not an unprimeable number, because it can be changed into a prime (135218887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63685 + ... + 65773.

It is an arithmetic number, because the mean of its divisors is an integer number (13124155).

Almost surely, 2135218881 is an apocalyptic number.

It is an amenable number.

135218881 is a deficient number, since it is larger than the sum of its proper divisors (22270979).

135218881 is a wasteful number, since it uses less digits than its factorization.

135218881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3417 counting only the distinct ones).

The product of its digits is 15360, while the sum is 37.

The square root of 135218881 is about 11628.3653623370. The cubic root of 135218881 is about 513.2698796682.

The spelling of 135218881 in words is "one hundred thirty-five million, two hundred eighteen thousand, eight hundred eighty-one".

Divisors: 1 7 49 1321 2089 9247 14623 64729 102361 2759569 19316983 135218881