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20110012211221 = 1571813891819217
BaseRepresentation
bin1001001001010001110100…
…01000100110000000010101
32122012111110022211212200021
410210220322020212000111
510113440301111224341
6110434225001345141
74143620564261362
oct444507210460025
978174408755607
1020110012211221
116453676698669
1223095564981b1
13b2b49b197aca
144d7488cdd469
1524d1930919d1
hex124a3a226015

20110012211221 has 16 divisors (see below), whose sum is σ = 20402238795120. Its totient is φ = 19820431088640.

The previous prime is 20110012211197. The next prime is 20110012211273. The reversal of 20110012211221 is 12211221001102.

It can be written as a sum of positive squares in 8 ways, for example, as 12876542792100 + 7233469419121 = 3588390^2 + 2689511^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110012211221 - 215 = 20110012178453 is a prime.

It is a super-2 number, since 2×201100122112212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20110012211195 and 20110012211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110012211021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10144605 + ... + 11963821.

It is an arithmetic number, because the mean of its divisors is an integer number (1275139924695).

Almost surely, 220110012211221 is an apocalyptic number.

It is an amenable number.

20110012211221 is a deficient number, since it is larger than the sum of its proper divisors (292226583899).

20110012211221 is a wasteful number, since it uses less digits than its factorization.

20110012211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819944.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20110012211221 its reverse (12211221001102), we get a palindrome (32321233212323).

The spelling of 20110012211221 in words is "twenty trillion, one hundred ten billion, twelve million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 157 181 389 28417 61073 70409 1819217 11054213 285617069 329278277 707675413 51696689489 111105039841 128089249753 20110012211221