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11200022420 = 225560001121
BaseRepresentation
bin10100110111001001…
…01100011110010100
31001220112211002102012
422123210230132110
5140414201204140
65051211203352
7544355422406
oct123344543624
931815732365
1011200022420
114828136684
122206a46558
1310964bbc02
1478369ab76
15458400265
hex29b92c794

11200022420 has 12 divisors (see below), whose sum is σ = 23520047124. Its totient is φ = 4480008960.

The previous prime is 11200022419. The next prime is 11200022423. The reversal of 11200022420 is 2422000211.

11200022420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8422099984 + 2777922436 = 91772^2 + 52706^2 .

It is a super-3 number, since 3×112000224203 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11200022395 and 11200022404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200022423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 280000541 + ... + 280000580.

It is an arithmetic number, because the mean of its divisors is an integer number (1960003927).

Almost surely, 211200022420 is an apocalyptic number.

11200022420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200022420 is an abundant number, since it is smaller than the sum of its proper divisors (12320024704).

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

11200022420 is a wasteful number, since it uses less digits than its factorization.

11200022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560001130 (or 560001128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11200022420 its reverse (2422000211), we get a palindrome (13622022631).

The spelling of 11200022420 in words is "eleven billion, two hundred million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 560001121 1120002242 2240004484 2800005605 5600011210 11200022420