Search a number
-
+
2311101331133 = 723318337314957
BaseRepresentation
bin100001101000011000010…
…111111011011010111101
322011221100121212221010112
4201220120113323122331
5300331113420044013
64525412202115405
7325654150121330
oct41503027733275
98157317787115
102311101331133
118111504a6511
12313aa71abb65
13139c222a8c6a
147dc0211c617
15401b5094ba8
hex21a185fb6bd

2311101331133 has 64 divisors (see below), whose sum is σ = 2887191724032. Its totient is φ = 1806622583040.

The previous prime is 2311101331111. The next prime is 2311101331139. The reversal of 2311101331133 is 3311331011132.

It is not a de Polignac number, because 2311101331133 - 216 = 2311101265597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2311101331099 and 2311101331108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311101331139) 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 63 ways as a sum of consecutive naturals, for example, 154508891 + ... + 154523847.

It is an arithmetic number, because the mean of its divisors is an integer number (45112370688).

Almost surely, 22311101331133 is an apocalyptic number.

2311101331133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2311101331133 is a deficient number, since it is larger than the sum of its proper divisors (576090392899).

2311101331133 is a wasteful number, since it uses less digits than its factorization.

2311101331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15474.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 2311101331133 its reverse (3311331011132), we get a palindrome (5622432342265).

The spelling of 2311101331133 in words is "two trillion, three hundred eleven billion, one hundred one million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 23 31 83 161 217 373 581 713 1909 2573 2611 4991 8579 11563 13363 14957 18011 30959 59179 60053 80941 104699 216713 265949 344011 414253 463667 712057 959729 1241431 1861643 2408077 3245669 4984399 5578961 6718103 8690017 10664341 22073767 28552913 38484361 39052727 74650387 128316103 154516369 172947791 199870391 269390527 463053763 885140303 898212721 1210634537 3241376341 3977799193 6195982121 10650236549 14354666653 27844594351 74551655843 100482666571 330157333019 2311101331133