Search a number
-
+
11300300220 = 22351117121667
BaseRepresentation
bin10101000011000110…
…01110010110111100
31002011112111201200210
422201203032112330
5141120334101340
65105152352420
7550013652456
oct124143162674
932145451623
1011300300220
1148797a78a0
122234545710
1310b11cbca1
14792b212d6
1546210c180
hex2a18ce5bc

11300300220 has 48 divisors (see below), whose sum is σ = 34517282688. Its totient is φ = 2739466560.

The previous prime is 11300300201. The next prime is 11300300237. The reversal of 11300300220 is 2200300311.

It is a happy number.

11300300220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11300300196 and 11300300205.

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 15 ways as a sum of consecutive naturals, for example, 8560174 + ... + 8561493.

It is an arithmetic number, because the mean of its divisors is an integer number (719110056).

Almost surely, 211300300220 is an apocalyptic number.

11300300220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300300220 is an abundant number, since it is smaller than the sum of its proper divisors (23216982468).

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

11300300220 is a wasteful number, since it uses less digits than its factorization.

11300300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17121690 (or 17121688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11300300220 its reverse (2200300311), we get a palindrome (13500600531).

Subtracting from 11300300220 its reverse (2200300311), we obtain a palindrome (9099999909).

The spelling of 11300300220 in words is "eleven billion, three hundred million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 17121667 34243334 51365001 68486668 85608335 102730002 171216670 188338337 205460004 256825005 342433340 376676674 513650010 565015011 753353348 941691685 1027300020 1130030022 1883383370 2260060044 2825075055 3766766740 5650150110 11300300220