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11213220 = 2235375051
BaseRepresentation
bin101010110001…
…100110100100
3210002200122110
4222301212210
510332310340
61040201020
7164211414
oct52614644
923080573
1011213220
116369727
123909170
132427b55
1416bc644
15eb7680
hexab19a4

11213220 has 48 divisors (see below), whose sum is σ = 32251968. Its totient is φ = 2908800.

The previous prime is 11213219. The next prime is 11213221. The reversal of 11213220 is 2231211.

It is an interprime number because it is at equal distance from previous prime (11213219) and next prime (11213221).

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 = 11213196 and 11213205.

It is not an unprimeable number, because it can be changed into a prime (11213221) 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, 306 + ... + 4745.

It is an arithmetic number, because the mean of its divisors is an integer number (671916).

Almost surely, 211213220 is an apocalyptic number.

11213220 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 11213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125984).

11213220 is an abundant number, since it is smaller than the sum of its proper divisors (21038748).

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

11213220 is a wasteful number, since it uses less digits than its factorization.

11213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11213220 is about 3348.6146389216. The cubic root of 11213220 is about 223.8257839689.

Adding to 11213220 its reverse (2231211), we get a palindrome (13444431).

Subtracting from 11213220 its reverse (2231211), we obtain a square (8982009 = 29972).

The spelling of 11213220 in words is "eleven million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5051 10102 15153 20204 25255 30306 50510 60612 75765 101020 151530 186887 303060 373774 560661 747548 934435 1121322 1868870 2242644 2803305 3737740 5606610 11213220