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11211200022 = 23113714713121
BaseRepresentation
bin10100111000011110…
…10101011000010110
31001221022211222012110
422130033111120112
5140430031400042
65052250531450
7544552425231
oct123417253026
931838758173
1011211200022
114833480570
12220a736b86
131098903789
14784d6a418
154593ac09c
hex29c3d5616

11211200022 has 64 divisors (see below), whose sum is σ = 25147035648. Its totient is φ = 3302208000.

The previous prime is 11211200009. The next prime is 11211200027. The reversal of 11211200022 is 22000211211.

11211200022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11211199980 and 11211200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211200027) 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 31 ways as a sum of consecutive naturals, for example, 3590622 + ... + 3593742.

It is an arithmetic number, because the mean of its divisors is an integer number (392922432).

Almost surely, 211211200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573517824).

11211200022 is an abundant number, since it is smaller than the sum of its proper divisors (13935835626).

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

11211200022 is a wasteful number, since it uses less digits than its factorization.

11211200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11211200022 its reverse (22000211211), we get a palindrome (33211411233).

The spelling of 11211200022 in words is "eleven billion, two hundred eleven million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 1471 2442 2942 3121 4413 6242 8826 9363 16181 18726 32362 34331 48543 54427 68662 97086 102993 108854 115477 163281 205986 230954 326562 346431 598697 692862 1197394 1270247 1796091 2540494 3592182 3810741 4590991 7621482 9181982 13772973 27545946 50500901 101001802 151502703 169866667 303005406 339733334 509600001 1019200002 1868533337 3737066674 5605600011 11211200022