Search a number
-
+
11132231331 = 3131372083517
BaseRepresentation
bin10100101111000100…
…00101111010100011
31001201211020221112010
422113202011322203
5140244322400311
65040350204003
7542603255634
oct122742057243
931654227463
1011132231331
1147a2944191
1221a81b3603
131085444940
1477869188b
154524adda6
hex297885ea3

11132231331 has 16 divisors (see below), whose sum is σ = 16101427104. Its totient is φ = 6800596224.

The previous prime is 11132231323. The next prime is 11132231371. The reversal of 11132231331 is 13313223111.

It is a happy number.

11132231331 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 11132231331 - 23 = 11132231323 is a prime.

It is a super-2 number, since 2×111322313312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11132231298 and 11132231307.

It is not an unprimeable number, because it can be changed into a prime (11132231321) 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 15 ways as a sum of consecutive naturals, for example, 1036416 + ... + 1047101.

It is an arithmetic number, because the mean of its divisors is an integer number (1006339194).

Almost surely, 211132231331 is an apocalyptic number.

11132231331 is a deficient number, since it is larger than the sum of its proper divisors (4969195773).

11132231331 is a wasteful number, since it uses less digits than its factorization.

11132231331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083670.

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

Adding to 11132231331 its reverse (13313223111), we get a palindrome (24445454442).

The spelling of 11132231331 in words is "eleven billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 13 39 137 411 1781 5343 2083517 6250551 27085721 81257163 285441829 856325487 3710743777 11132231331