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11211313320 = 2332531142537
BaseRepresentation
bin10100111000011111…
…10001000010101000
31001221100001201121200
422130033301002220
5140430044011240
65052253204200
7544553406444
oct123417610250
931840051550
1011211313320
1148335486a9
12220a790660
13109894320c
14784d99824
154593d0930
hex29c3f10a8

11211313320 has 48 divisors (see below), whose sum is σ = 36436769460. Its totient is φ = 2989683456.

The previous prime is 11211313297. The next prime is 11211313327. The reversal of 11211313320 is 2331311211.

11211313320 is a `hidden beast` number, since 11 + 21 + 1 + 313 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11193216804 + 18096516 = 105798^2 + 4254^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11211313293 and 11211313302.

It is not an unprimeable number, because it can be changed into a prime (11211313327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15570909 + ... + 15571628.

Almost surely, 211211313320 is an apocalyptic number.

11211313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211313320 is an abundant number, since it is smaller than the sum of its proper divisors (25225456140).

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

11211313320 is a wasteful number, since it uses less digits than its factorization.

11211313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31142554 (or 31142547 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11211313320 its reverse (2331311211), we get a palindrome (13542624531).

The spelling of 11211313320 in words is "eleven billion, two hundred eleven million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 31142537 62285074 93427611 124570148 155712685 186855222 249140296 280282833 311425370 373710444 467138055 560565666 622850740 747420888 934276110 1121131332 1245701480 1401414165 1868552220 2242262664 2802828330 3737104440 5605656660 11211313320