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11213120 = 26567523
BaseRepresentation
bin101010110001…
…100101000000
3210002200111202
4222301211000
510332304440
61040200332
7164211212
oct52614500
923080452
1011213120
116369646
1239090a8
132427aa9
1416bc5b2
15eb7615
hexab1940

11213120 has 56 divisors (see below), whose sum is σ = 27151584. Its totient is φ = 4409856.

The previous prime is 11213117. The next prime is 11213123. The reversal of 11213120 is 2131211.

Adding to 11213120 its reverse (2131211), we get a palindrome (13344331).

It can be divided in two parts, 1 and 1213120, that added together give a palindrome (1213121).

It is an interprime number because it is at equal distance from previous prime (11213117) and next prime (11213123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21179 + ... + 21701.

Almost surely, 211213120 is an apocalyptic number.

11213120 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 11213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575792).

11213120 is an abundant number, since it is smaller than the sum of its proper divisors (15938464).

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

11213120 is an equidigital number, since it uses as much as digits as its factorization.

11213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11213120 is about 3348.5997073404. The cubic root of 11213120 is about 223.8251186041.

The spelling of 11213120 in words is "eleven million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 523 536 670 1046 1072 1340 2092 2144 2615 2680 4184 4288 5230 5360 8368 10460 10720 16736 20920 21440 33472 35041 41840 70082 83680 140164 167360 175205 280328 350410 560656 700820 1121312 1401640 2242624 2803280 5606560 11213120