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11122113320 = 23517147111119
BaseRepresentation
bin10100101101110110…
…11111101100101000
31001201010012220012222
422112323133230220
5140234230111240
65035345253212
7542421255233
oct122673375450
931633186188
1011122113320
11479816339a
1221a4934208
131083311456
147771ba41a
15451660eb5
hex296edfb28

11122113320 has 64 divisors (see below), whose sum is σ = 26517196800. Its totient is φ = 4183925760.

The previous prime is 11122113307. The next prime is 11122113329. The reversal of 11122113320 is 2331122111.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11122113329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994721 + ... + 1005839.

It is an arithmetic number, because the mean of its divisors is an integer number (414331200).

Almost surely, 211122113320 is an apocalyptic number.

11122113320 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 11122113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258598400).

11122113320 is an abundant number, since it is smaller than the sum of its proper divisors (15395083480).

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

11122113320 is a wasteful number, since it uses less digits than its factorization.

11122113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12618 (or 12614 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11122113320 its reverse (2331122111), we get a palindrome (13453235431).

The spelling of 11122113320 in words is "eleven billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1471 2942 5884 7355 11119 11768 14710 22238 25007 29420 44476 50014 55595 58840 88952 100028 111190 125035 189023 200056 222380 250070 378046 444760 500140 756092 945115 1000280 1512184 1890230 3780460 7560920 16356049 32712098 65424196 81780245 130848392 163560490 278052833 327120980 556105666 654241960 1112211332 1390264165 2224422664 2780528330 5561056660 11122113320