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10021000122 = 2327536722397
BaseRepresentation
bin10010101010100110…
…00101001110111010
3221212101021112212200
421111103011032322
5131010334000442
64334212451030
7503221044540
oct112523051672
927771245780
1010021000122
114282658791
121b38019a76
13c39160b93
146b0c6bd90
153d9b5a34c
hex2554c53ba

10021000122 has 96 divisors (see below), whose sum is σ = 25660582272. Its totient is φ = 2767070592.

The previous prime is 10021000091. The next prime is 10021000127. The reversal of 10021000122 is 22100012001.

10021000122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10021000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436228 + ... + 458624.

It is an arithmetic number, because the mean of its divisors is an integer number (267297732).

Almost surely, 210021000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830291136).

10021000122 is an abundant number, since it is smaller than the sum of its proper divisors (15639582150).

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

10021000122 is a wasteful number, since it uses less digits than its factorization.

10021000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22532 (or 22529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021000122 its reverse (22100012001), we get a palindrome (32121012123).

The spelling of 10021000122 in words is "ten billion, twenty-one million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 67 106 126 134 159 201 318 371 402 469 477 603 742 938 954 1113 1206 1407 2226 2814 3339 3551 4221 6678 7102 8442 10653 21306 22397 24857 31959 44794 49714 63918 67191 74571 134382 149142 156779 201573 223713 313558 403146 447426 470337 940674 1187041 1411011 1500599 2374082 2822022 3001198 3561123 4501797 7122246 8309287 9003594 10504193 10683369 13505391 16618574 21008386 21366738 24927861 27010782 31512579 49855722 63025158 74783583 79531747 94537737 149567166 159063494 189075474 238595241 477190482 556722229 715785723 1113444458 1431571446 1670166687 3340333374 5010500061 10021000122