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20100222201221 = 412810917441009
BaseRepresentation
bin1001001000111111100101…
…00110101010110110000101
32122011120012001012211200022
410210133302212222312011
510113310223340414341
6110425525315424525
74143123146462231
oct444376246526605
978146161184608
1020100222201221
11644a50246a208
1223076838b5145
13b2a59ab51a96
144d6bda9dd5c1
1524ccbd862e4b
hex1247f29aad85

20100222201221 has 8 divisors (see below), whose sum is σ = 20591205226200. Its totient is φ = 19609274114560.

The previous prime is 20100222201211. The next prime is 20100222201233. The reversal of 20100222201221 is 12210222200102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24096352900 + 20076125848321 = 155230^2 + 4480639^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20100222201221 is a prime.

It is a super-2 number, since 2×201002222012212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20100222201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100222201211) 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 7 ways as a sum of consecutive naturals, for example, 7568036 + ... + 9872973.

It is an arithmetic number, because the mean of its divisors is an integer number (2573900653275).

Almost surely, 220100222201221 is an apocalyptic number.

It is an amenable number.

20100222201221 is a deficient number, since it is larger than the sum of its proper divisors (490983024979).

20100222201221 is a wasteful number, since it uses less digits than its factorization.

20100222201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17469159.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20100222201221 its reverse (12210222200102), we get a palindrome (32310444401323).

The spelling of 20100222201221 in words is "twenty trillion, one hundred billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 41 28109 1152469 17441009 715081369 490249321981 20100222201221