Search a number
-
+
11310310112 = 254769110883
BaseRepresentation
bin10101000100010010…
…11010001011100000
31002012020100021200112
422202021122023200
5141130414410422
65110151110452
7550165023023
oct124211321340
932166307615
1011310310112
114884414432
122237972428
1310b32c51ba
147941a91ba
15462e37ee2
hex2a225a2e0

11310310112 has 48 divisors (see below), whose sum is σ = 22775945472. Its totient is φ = 5526314880.

The previous prime is 11310310111. The next prime is 11310310129. The reversal of 11310310112 is 21101301311.

It is a happy number.

It is a super-2 number, since 2×113103101122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310310111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033823 + ... + 1044705.

It is an arithmetic number, because the mean of its divisors is an integer number (474498864).

Almost surely, 211310310112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387972736).

11310310112 is an abundant number, since it is smaller than the sum of its proper divisors (11465635360).

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

11310310112 is a wasteful number, since it uses less digits than its factorization.

11310310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11631 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11310310112 its reverse (21101301311), we get a palindrome (32411611423).

The spelling of 11310310112 in words is "eleven billion, three hundred ten million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 94 188 376 691 752 1382 1504 2764 5528 10883 11056 21766 22112 32477 43532 64954 87064 129908 174128 259816 348256 511501 519632 1023002 1039264 2046004 4092008 7520153 8184016 15040306 16368032 30080612 60161224 120322448 240644896 353447191 706894382 1413788764 2827577528 5655155056 11310310112