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21221001221221 = 315313795398927
BaseRepresentation
bin1001101001100111001100…
…01111010101010001100101
32210010201010001200012012101
410310303212033111101211
510240141102303034341
6113044443211452101
74320111123120064
oct464634617252145
983121101605171
1021221001221221
116841859a604aa
122468932457031
13bac193820359
1453515da161db
1526c018660831
hex134ce63d5465

21221001221221 has 32 divisors (see below), whose sum is σ = 22505591328768. Its totient is φ = 19980709432320.

The previous prime is 21221001221209. The next prime is 21221001221227. The reversal of 21221001221221 is 12212210012212.

It is a cyclic number.

It is not a de Polignac number, because 21221001221221 - 219 = 21221000696933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221001221227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214462260 + ... + 214561186.

It is an arithmetic number, because the mean of its divisors is an integer number (703299729024).

Almost surely, 221221001221221 is an apocalyptic number.

It is an amenable number.

21221001221221 is a deficient number, since it is larger than the sum of its proper divisors (1284590107547).

21221001221221 is a wasteful number, since it uses less digits than its factorization.

21221001221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100101.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21221001221221 its reverse (12212210012212), we get a palindrome (33433211233433).

The spelling of 21221001221221 in words is "twenty-one trillion, two hundred twenty-one billion, one million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 31 53 137 953 1643 4247 7261 29543 50509 98927 130561 225091 1565779 3066737 4047391 5243131 6919733 13552999 94277431 162537061 214511723 420142969 718308947 2922600361 4996703843 12916008047 22267577357 154897819133 400396249457 684548426491 21221001221221