Search a number
-
+
11113333123113 = 3213351112705299
BaseRepresentation
bin1010000110111000011001…
…0001011110100000101001
31110100102110021220212000200
42201232012101132200221
52424040101234414423
635345221133422413
72224624516633014
oct241560621364051
943312407825020
1011113333123113
1135a5157907821
1212b5a0893aa09
13627ca132c950
142a5c612b837b
1514413b1e8d43
hexa1b8645e829

11113333123113 has 24 divisors (see below), whose sum is σ = 17287905835200. Its totient is φ = 6838776920160.

The previous prime is 11113333123099. The next prime is 11113333123117. The reversal of 11113333123113 is 31132133331111.

11113333123113 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 3 + 33 + 312 + 311 + 3 = 666.

It is not a de Polignac number, because 11113333123113 - 24 = 11113333123097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11113333123117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2755338 + ... + 5460636.

It is an arithmetic number, because the mean of its divisors is an integer number (720329409800).

Almost surely, 211113333123113 is an apocalyptic number.

11113333123113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11113333123113 is a deficient number, since it is larger than the sum of its proper divisors (6174572712087).

11113333123113 is a wasteful number, since it uses less digits than its factorization.

11113333123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740429 (or 2740426 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 11113333123113 its reverse (31132133331111), we get a palindrome (42245466454224).

The spelling of 11113333123113 in words is "eleven trillion, one hundred thirteen billion, three hundred thirty-three million, one hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 35111 105333 315999 456443 1369329 2705299 4107987 8115897 24347691 35168887 105506661 316519983 94985753189 284957259567 854871778701 1234814791457 3704444374371 11113333123113