Search a number
-
+
11221311300 = 22352231626277
BaseRepresentation
bin10100111001101011…
…11001111101000100
31001222000212200021020
422130311321331010
5140440123430200
65053251351140
7545034400203
oct123465717504
931860780236
1011221311300
1148391572a1
122211bb24b0
13109aa33b94
1478643d23a
1545a207ea0
hex29cd79f44

11221311300 has 72 divisors (see below), whose sum is σ = 33878623296. Its totient is φ = 2862245760.

The previous prime is 11221311293. The next prime is 11221311307. The reversal of 11221311300 is 311312211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11221311293) and next prime (11221311307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11221311300.

It is not an unprimeable number, because it can be changed into a prime (11221311307) 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, 806239 + ... + 820038.

Almost surely, 211221311300 is an apocalyptic number.

11221311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221311300 is an abundant number, since it is smaller than the sum of its proper divisors (22657311996).

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

11221311300 is a wasteful number, since it uses less digits than its factorization.

11221311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626317 (or 1626310 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11221311300 its reverse (311312211), we get a palindrome (11532623511).

The spelling of 11221311300 in words is "eleven billion, two hundred twenty-one million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 1626277 3252554 4878831 6505108 8131385 9757662 16262770 19515324 24394155 32525540 37404371 40656925 48788310 74808742 81313850 97576620 112213113 121970775 149617484 162627700 187021855 224426226 243941550 374043710 448852452 487883100 561065565 748087420 935109275 1122131130 1870218550 2244262260 2805327825 3740437100 5610655650 11221311300