Search a number
-
+
11312231133 = 3710916330319
BaseRepresentation
bin10101000100100001…
…01111001011011101
31002012100221212211110
422202100233023131
5141131412344013
65110300212233
7550220243460
oct124220571335
932170855743
1011312231133
114885506755
12223853a079
1310b38186b8
147945492d7
154631b72c3
hex2a242f2dd

11312231133 has 32 divisors (see below), whose sum is σ = 17503129600. Its totient is φ = 6365324736.

The previous prime is 11312231123. The next prime is 11312231159. The reversal of 11312231133 is 33113221311.

It is a happy number.

11312231133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11312231133 - 28 = 11312230877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312231113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357948 + ... + 388266.

It is an arithmetic number, because the mean of its divisors is an integer number (546972800).

Almost surely, 211312231133 is an apocalyptic number.

It is an amenable number.

11312231133 is a deficient number, since it is larger than the sum of its proper divisors (6190898467).

11312231133 is a wasteful number, since it uses less digits than its factorization.

11312231133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30601.

The product of its digits is 324, while the sum is 21.

Adding to 11312231133 its reverse (33113221311), we get a palindrome (44425452444).

The spelling of 11312231133 in words is "eleven billion, three hundred twelve million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 21 109 163 327 489 763 1141 2289 3423 17767 30319 53301 90957 124369 212233 373107 636699 3304771 4941997 9914313 14825991 23133397 34593979 69400191 103781937 538677673 1616033019 3770743711 11312231133