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11200010022 = 233262179133
BaseRepresentation
bin10100110111001001…
…01001011100100110
31001220112210110102000
422123210221130212
5140414200310042
65051211030130
7544355341305
oct123344513446
931815713360
1011200010022
114828128333
122206a3b346
1310964b6386
1478369643c
154583eb74c
hex29b929726

11200010022 has 32 divisors (see below), whose sum is σ = 24898721760. Its totient is φ = 3731865120.

The previous prime is 11200009999. The next prime is 11200010027. The reversal of 11200010022 is 22001000211.

11200010022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11200009986 and 11200010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200010027) 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 15 ways as a sum of consecutive naturals, for example, 101968 + ... + 181100.

It is an arithmetic number, because the mean of its divisors is an integer number (778085055).

Almost surely, 211200010022 is an apocalyptic number.

11200010022 is an abundant number, since it is smaller than the sum of its proper divisors (13698711738).

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

11200010022 is a wasteful number, since it uses less digits than its factorization.

11200010022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81765 (or 81759 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11200010022 its reverse (22001000211), we get a palindrome (33201010233).

The spelling of 11200010022 in words is "eleven billion, two hundred million, ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 2621 5242 7863 15726 23589 47178 70767 79133 141534 158266 237399 474798 712197 1424394 2136591 4273182 207407593 414815186 622222779 1244445558 1866668337 3733336674 5600005011 11200010022