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11301220 = 225789907
BaseRepresentation
bin101011000111…
…000101100100
3210021011100201
4223013011210
510343114340
61042120244
7165026110
oct53070544
923234321
1011301220
116419857
123950084
132458c18
141702740
15ed379a
hexac7164

11301220 has 48 divisors (see below), whose sum is σ = 27457920. Its totient is φ = 3826944.

The previous prime is 11301167. The next prime is 11301221. The reversal of 11301220 is 2210311.

11301220 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11301197 and 11301206.

It is not an unprimeable number, because it can be changed into a prime (11301221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12007 + ... + 12913.

It is an arithmetic number, because the mean of its divisors is an integer number (572040).

Almost surely, 211301220 is an apocalyptic number.

11301220 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 11301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728960).

11301220 is an abundant number, since it is smaller than the sum of its proper divisors (16156700).

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

11301220 is a wasteful number, since it uses less digits than its factorization.

11301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11301220 is about 3361.7287219524. The cubic root of 11301220 is about 224.4097781821.

Adding to 11301220 its reverse (2210311), we get a palindrome (13511531).

Subtracting from 11301220 its reverse (2210311), we obtain a palindrome (9090909).

The spelling of 11301220 in words is "eleven million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 907 1246 1780 1814 2492 3115 3628 4535 6230 6349 9070 12460 12698 18140 25396 31745 63490 80723 126980 161446 322892 403615 565061 807230 1130122 1614460 2260244 2825305 5650610 11301220