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11311300806 = 2313222350023
BaseRepresentation
bin10101000100011010…
…01100000011000110
31002012022012121122220
422202031030003012
5141131143111211
65110224233210
7550206320241
oct124215140306
932168177586
1011311300806
114884a30793
12223816b806
1310b3581100
14794386258
15463081806
hex2a234c0c6

11311300806 has 48 divisors (see below), whose sum is σ = 24607005696. Its totient is φ = 3464723808.

The previous prime is 11311300789. The next prime is 11311300807. The reversal of 11311300806 is 60800311311.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311300807) 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 23 ways as a sum of consecutive naturals, for example, 201111 + ... + 251133.

It is an arithmetic number, because the mean of its divisors is an integer number (512645952).

Almost surely, 211311300806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311300806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303502848).

11311300806 is an abundant number, since it is smaller than the sum of its proper divisors (13295704890).

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

11311300806 is a wasteful number, since it uses less digits than its factorization.

11311300806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50277 (or 50264 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 11311300806 in words is "eleven billion, three hundred eleven million, three hundred thousand, eight hundred six".

Divisors: 1 2 3 6 13 26 39 78 169 223 338 446 507 669 1014 1338 2899 5798 8697 17394 37687 50023 75374 100046 113061 150069 226122 300138 650299 1300598 1950897 3901794 8453887 11155129 16907774 22310258 25361661 33465387 50723322 66930774 145016677 290033354 435050031 870100062 1885216801 3770433602 5655650403 11311300806