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21221202002112 = 2632710152110841
BaseRepresentation
bin1001101001100111100100…
…01101010000000011000000
32210010201122001110220210200
410310303302031100003000
510240142010203031422
6113044515143125200
74320116111536110
oct464636215200300
983121561426720
1021221202002112
116841952327122
122468989743800
13bac1c62bbc08
1453517c55d040
1526c02b0c12ac
hex134cf23500c0

21221202002112 has 168 divisors, whose sum is σ = 70204560115872. Its totient is φ = 6003168768000.

The previous prime is 21221202002111. The next prime is 21221202002129. The reversal of 21221202002112 is 21120020212212.

It is a happy number.

21221202002112 is a `hidden beast` number, since 212 + 21 + 20 + 200 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21221202002111) 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 23 ways as a sum of consecutive naturals, for example, 25648189 + ... + 26462652.

It is an arithmetic number, because the mean of its divisors is an integer number (417884286404).

Almost surely, 221221202002112 is an apocalyptic number.

It is an amenable number.

21221202002112 is an abundant number, since it is smaller than the sum of its proper divisors (48983358113760).

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

21221202002112 is a wasteful number, since it uses less digits than its factorization.

21221202002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52110967 (or 52110954 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21221202002112 its reverse (21120020212212), we get a palindrome (42341222214324).

The spelling of 21221202002112 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred two million, two thousand, one hundred twelve".