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20211222112002 = 234539533246929
BaseRepresentation
bin1001001100001110010101…
…01101101110011100000010
32122120011200211010112210000
410212013022231232130002
510122120040330041002
6110552523545020430
74154132632242405
oct446071255563402
978504624115700
1020211222112002
116492592a82069
1223250a1484716
13b37baa55736c
144dc32a909d3c
15250b1862061c
hex1261cab6e702

20211222112002 has 80 divisors (see below), whose sum is σ = 46147628613240. Its totient is φ = 6609239290368.

The previous prime is 20211222111973. The next prime is 20211222112033. The reversal of 20211222112002 is 20021122211202.

It is a happy number.

20211222112002 is a `hidden beast` number, since 20 + 211 + 22 + 211 + 200 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15322926631401 + 4888295480601 = 3914451^2 + 2210949^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81726874 + ... + 81973802.

Almost surely, 220211222112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211222112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23073814306620).

20211222112002 is an abundant number, since it is smaller than the sum of its proper divisors (25936406501238).

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

20211222112002 is a wasteful number, since it uses less digits than its factorization.

20211222112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256529 (or 256520 counting only the distinct ones).

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

Adding to 20211222112002 its reverse (20021122211202), we get a palindrome (40232344323204).

It can be divided in two parts, 2021122211200 and 2, that added together give a palindrome (2021122211202).

The spelling of 20211222112002 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 4293 8586 9533 19066 28599 57198 85797 171594 246929 257391 493858 505249 514782 740787 772173 1010498 1481574 1515747 1544346 2222361 3031494 4444722 4547241 6667083 9094482 13087237 13334166 13641723 20001249 26174474 27283446 39261711 40002498 40925169 78523422 81850338 117785133 235570266 353355399 706710798 1060066197 2120132394 2353974157 4707948314 7061922471 14123844942 21185767413 42371534826 63557302239 124760630321 127114604478 190671906717 249521260642 374281890963 381343813434 748563781926 1122845672889 2245691345778 3368537018667 6737074037334 10105611056001 20211222112002