Search a number
-
+
11320331310 = 233541927153
BaseRepresentation
bin10101000101011111…
…01000110000101110
31002012221012102012000
422202233220300232
5141141001100220
65111145553130
7550346141241
oct124257506056
932187172160
1011320331310
11488a039512
12223b1a57a6
1310b53c35c2
14795657258
15463c67390
hex2a2be8c2e

11320331310 has 32 divisors (see below), whose sum is σ = 30187550880. Its totient is φ = 3018754944.

The previous prime is 11320331303. The next prime is 11320331353. The reversal of 11320331310 is 1313302311.

It is a happy number.

11320331310 is a `hidden beast` number, since 1 + 1 + 3 + 20 + 331 + 310 = 666.

11320331310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113203313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20963307 + ... + 20963846.

It is an arithmetic number, because the mean of its divisors is an integer number (943360965).

Almost surely, 211320331310 is an apocalyptic number.

11320331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11320331310 is an abundant number, since it is smaller than the sum of its proper divisors (18867219570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11320331310 is a wasteful number, since it uses less digits than its factorization.

11320331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41927169 (or 41927163 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11320331310 its reverse (1313302311), we get a palindrome (12633633621).

The spelling of 11320331310 in words is "eleven billion, three hundred twenty million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 41927153 83854306 125781459 209635765 251562918 377344377 419271530 628907295 754688754 1132033131 1257814590 1886721885 2264066262 3773443770 5660165655 11320331310