Search a number
-
+
11131113133231 = 713122319924541
BaseRepresentation
bin1010000111111010101000…
…0010110101010010101111
31110102010100102010221122221
42201332222002311102233
52424333004430230411
635401321321020211
72226124234343140
oct241765202652257
943363312127587
1011131113133231
1136017511a3563
1212b934b324667
13629875ac72b0
142a6a6a7dbac7
1514482c0ea071
hexa1faa0b54af

11131113133231 has 8 divisors (see below), whose sum is σ = 13699831548704. Its totient is φ = 8807034566880.

The previous prime is 11131113133211. The next prime is 11131113133247. The reversal of 11131113133231 is 13233131113111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11131113133231 - 227 = 11130978915503 is a prime.

It is a super-2 number, since 2×111311131332312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11131113133196 and 11131113133205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131113133211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61159962180 + ... + 61159962361.

It is an arithmetic number, because the mean of its divisors is an integer number (1712478943588).

Almost surely, 211131113133231 is an apocalyptic number.

11131113133231 is a deficient number, since it is larger than the sum of its proper divisors (2568718415473).

11131113133231 is a wasteful number, since it uses less digits than its factorization.

11131113133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122319924561.

The product of its digits is 486, while the sum is 25.

Adding to 11131113133231 its reverse (13233131113111), we get a palindrome (24364244246342).

The spelling of 11131113133231 in words is "eleven trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 7 13 91 122319924541 856239471787 1590159019033 11131113133231