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11200212012 = 2231184850091
BaseRepresentation
bin10100110111001010…
…11010110000101100
31001220120011201111010
422123211122300230
5140414223241022
65051215225220
7544360142223
oct123345326054
931816151433
1011200212012
114828256070
122206b18210
1310965572b2
14783709cba
1545843b50c
hex29b95ac2c

11200212012 has 24 divisors (see below), whose sum is σ = 28509630912. Its totient is φ = 3394003600.

The previous prime is 11200211999. The next prime is 11200212097. The reversal of 11200212012 is 21021200211.

11200212012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112002120122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 42424914 + ... + 42425177.

It is an arithmetic number, because the mean of its divisors is an integer number (1187901288).

Almost surely, 211200212012 is an apocalyptic number.

11200212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200212012 is an abundant number, since it is smaller than the sum of its proper divisors (17309418900).

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

11200212012 is a wasteful number, since it uses less digits than its factorization.

11200212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84850109 (or 84850107 counting only the distinct ones).

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

Adding to 11200212012 its reverse (21021200211), we get a palindrome (32221412223).

The spelling of 11200212012 in words is "eleven billion, two hundred million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 84850091 169700182 254550273 339400364 509100546 933351001 1018201092 1866702002 2800053003 3733404004 5600106006 11200212012