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21211012221012 = 22321734658516701
BaseRepresentation
bin1001101001010100100101…
…10110010100100001010100
32210002202022220121101221200
410310222102312110201110
510240010123112033022
6113040112100512500
74316305441040355
oct464522266244124
983082286541850
1021211012221012
1168385a3479829
122466a050ab730
13bab2611b4843
14534893117d2c
1526bb31726bac
hex134a92d94854

21211012221012 has 36 divisors (see below), whose sum is σ = 56770650357876. Its totient is φ = 6654435206400.

The previous prime is 21211012221001. The next prime is 21211012221017. The reversal of 21211012221012 is 21012221011212.

21211012221012 is a `hidden beast` number, since 212 + 110 + 122 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8260255372356 + 12950756848656 = 2874066^2 + 3598716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211012221017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17329257739 + ... + 17329258962.

It is an arithmetic number, because the mean of its divisors is an integer number (1576962509941).

Almost surely, 221211012221012 is an apocalyptic number.

It is an amenable number.

21211012221012 is an abundant number, since it is smaller than the sum of its proper divisors (35559638136864).

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

21211012221012 is a wasteful number, since it uses less digits than its factorization.

21211012221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34658516728 (or 34658516723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211012221012 its reverse (21012221011212), we get a palindrome (42223233232224).

The spelling of 21211012221012 in words is "twenty-one trillion, two hundred eleven billion, twelve million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 34658516701 69317033402 103975550103 138634066804 207951100206 311926650309 415902200412 589194783917 623853300618 1178389567834 1247706601236 1767584351751 2356779135668 3535168703502 5302753055253 7070337407004 10605506110506 21211012221012