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10221002022 = 23721114232221
BaseRepresentation
bin10011000010011100…
…00001110100100110
3222101022121200220110
421201032001310212
5131413034031042
64410115313450
7511200040500
oct114116016446
928338550813
1010221002022
114375542110
121b92bab886
13c6b718cba
146cd650d70
153ec4b509c
hex261381d26

10221002022 has 96 divisors (see below), whose sum is σ = 25971162624. Its totient is φ = 2651745600.

The previous prime is 10221001957. The next prime is 10221002081. The reversal of 10221002022 is 22020012201.

It is a junction number, because it is equal to n+sod(n) for n = 10221001989 and 10221002007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4600872 + ... + 4603092.

It is an arithmetic number, because the mean of its divisors is an integer number (270532944).

Almost surely, 210221002022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985581312).

10221002022 is an abundant number, since it is smaller than the sum of its proper divisors (15750160602).

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

10221002022 is a wasteful number, since it uses less digits than its factorization.

10221002022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10221002022 its reverse (22020012201), we get a palindrome (32241014223).

The spelling of 10221002022 in words is "ten billion, two hundred twenty-one million, two thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1423 1617 2221 2846 3234 4269 4442 6663 8538 9961 13326 15547 15653 19922 24431 29883 31094 31306 46641 46959 48862 59766 69727 73293 93282 93918 108829 109571 139454 146586 171017 209181 217658 219142 326487 328713 342034 418362 513051 652974 657426 766997 1026102 1197119 1533994 2300991 2394238 3160483 3591357 4601982 6320966 7182714 9481449 18962898 22123381 34765313 44246762 66370143 69530626 104295939 132740286 154863667 208591878 243357191 309727334 464591001 486714382 730071573 929182002 1460143146 1703500337 3407000674 5110501011 10221002022