Search a number
-
+
21222002020002 = 2376730612463763
BaseRepresentation
bin1001101001101001000011…
…11001000100111010100010
32210010210200210212001000220
410310310201321010322202
510240200130004120002
6113045130402223510
74320144664555560
oct464644171047242
983123623761026
1021222002020002
11684222297a433
122468b71654b96
13bac2c2c79c94
145352168d0a30
1526c07644d7bc
hex134d21e44ea2

21222002020002 has 64 divisors (see below), whose sum is σ = 49247528162304. Its totient is φ = 5970976482240.

The previous prime is 21222002020001. The next prime is 21222002020049. The reversal of 21222002020002 is 20002020022212.

It is not an unprimeable number, because it can be changed into a prime (21222002020001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7381773 + ... + 9845535.

It is an arithmetic number, because the mean of its divisors is an integer number (769492627536).

Almost surely, 221222002020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222002020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24623764081152).

21222002020002 is an abundant number, since it is smaller than the sum of its proper divisors (28025526142302).

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

21222002020002 is a wasteful number, since it uses less digits than its factorization.

21222002020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466903.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 21222002020002 its reverse (20002020022212), we get a palindrome (41224022042214).

The spelling of 21222002020002 in words is "twenty-one trillion, two hundred twenty-two billion, two million, twenty thousand, two".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1407 2814 3061 6122 9183 18366 21427 42854 64281 128562 205087 410174 615261 1230522 1435609 2463763 2871218 4306827 4927526 7391289 8613654 14782578 17246341 34492682 51739023 103478046 165072121 330144242 495216363 990432726 1155504847 2311009694 3466514541 6933029082 7541578543 15083157086 22624735629 45249471258 52791049801 105582099602 158373149403 316746298806 505285762381 1010571524762 1515857287143 3031714574286 3537000336667 7074000673334 10611001010001 21222002020002