Search a number
-
+
135218831 = 1123730203
BaseRepresentation
bin10000000111101…
…00011010001111
3100102102211100212
420003310122033
5234104000311
621230113035
73231224666
oct1003643217
9312384325
10135218831
116a366a00
123934b77b
1322025057
1413d5bddd
15bd0ec8b
hex80f468f

135218831 has 12 divisors (see below), whose sum is σ = 152651016. Its totient is φ = 119599920.

The previous prime is 135218827. The next prime is 135218887. The reversal of 135218831 is 138812531.

It is not a de Polignac number, because 135218831 - 22 = 135218827 is a prime.

It is a super-2 number, since 2×1352188312 = 36568264514013122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135218131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10625 + ... + 19578.

It is an arithmetic number, because the mean of its divisors is an integer number (12720918).

Almost surely, 2135218831 is an apocalyptic number.

135218831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135218831 is a deficient number, since it is larger than the sum of its proper divisors (17432185).

135218831 is a wasteful number, since it uses less digits than its factorization.

135218831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30262 (or 30251 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 135218831 is about 11628.3632124216. The cubic root of 135218831 is about 513.2698164041.

The spelling of 135218831 in words is "one hundred thirty-five million, two hundred eighteen thousand, eight hundred thirty-one".

Divisors: 1 11 37 121 407 4477 30203 332233 1117511 3654563 12292621 135218831