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11200411220 = 2252355723773
BaseRepresentation
bin10100110111001100…
…01011011001010100
31001220120112211202012
422123212023121110
5140414301124340
65051223403352
7544361632055
oct123346133124
931816484665
1011200411220
1148283817a9
122206bb3558
1310965c6b7b
1478375c72c
1545847a565
hex29b98b654

11200411220 has 24 divisors (see below), whose sum is σ = 23522851464. Its totient is φ = 4479785856.

The previous prime is 11200411207. The next prime is 11200411231. The reversal of 11200411220 is 2211400211.

It is a happy number.

11200411220 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 4 ways, for example, as 381499024 + 10818912196 = 19532^2 + 104014^2 .

It is a super-2 number, since 2×112004112202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11200411195 and 11200411204.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 459254 + ... + 483026.

It is an arithmetic number, because the mean of its divisors is an integer number (980118811).

Almost surely, 211200411220 is an apocalyptic number.

11200411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200411220 is an abundant number, since it is smaller than the sum of its proper divisors (12322440244).

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

11200411220 is a wasteful number, since it uses less digits than its factorization.

11200411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47339 (or 47337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11200411220 its reverse (2211400211), we get a palindrome (13411811431).

The spelling of 11200411220 in words is "eleven billion, two hundred million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23557 23773 47114 47546 94228 95092 117785 118865 235570 237730 471140 475460 560020561 1120041122 2240082244 2800102805 5600205610 11200411220