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11300222300 = 2252319074019
BaseRepresentation
bin10101000011000101…
…11011010101011100
31002011112100202210212
422201202323111130
5141120324103200
65105150551552
7550013206343
oct124142732534
932145322725
1011300222300
1148797542a4
1222345085b8
1310b11a2693
14792b00b5a
154620e4035
hex2a18bb55c

11300222300 has 72 divisors (see below), whose sum is σ = 25346711040. Its totient is φ = 4368369600.

The previous prime is 11300222293. The next prime is 11300222333. The reversal of 11300222300 is 322200311.

It is a happy number.

11300222300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2809691 + ... + 2813709.

Almost surely, 211300222300 is an apocalyptic number.

11300222300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673355520).

11300222300 is an abundant number, since it is smaller than the sum of its proper divisors (14046488740).

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

11300222300 is a wasteful number, since it uses less digits than its factorization.

11300222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11300222300 its reverse (322200311), we get a palindrome (11622422611).

The spelling of 11300222300 in words is "eleven billion, three hundred million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 907 1550 1814 3100 3628 4019 4535 8038 9070 16076 18140 20095 22675 28117 40190 45350 56234 80380 90700 100475 112468 124589 140585 200950 249178 281170 401900 498356 562340 622945 702925 1245890 1405850 2491780 2811700 3114725 3645233 6229450 7290466 12458900 14580932 18226165 36452330 72904660 91130825 113002223 182261650 226004446 364523300 452008892 565011115 1130022230 2260044460 2825055575 5650111150 11300222300