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10221212022 = 23717107337397
BaseRepresentation
bin10011000010011101…
…10101000101110110
3222101100000100222020
421201032311011312
5131413112241042
64410124014010
7511201603650
oct114116650566
928340010866
1010221212022
11437567596a
121b93091306
13c6b790768
146cd6a76d0
153ec5073ec
hex2613b5176

10221212022 has 128 divisors (see below), whose sum is σ = 25105406976. Its totient is φ = 2707955712.

The previous prime is 10221212017. The next prime is 10221212041. The reversal of 10221212022 is 22021212201.

10221212022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10221211992 and 10221212010.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 25745928 + ... + 25746324.

It is an arithmetic number, because the mean of its divisors is an integer number (196135992).

Almost surely, 210221212022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552703488).

10221212022 is an abundant number, since it is smaller than the sum of its proper divisors (14884194954).

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

10221212022 is a wasteful number, since it uses less digits than its factorization.

10221212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10221212022 its reverse (22021212201), we get a palindrome (32242424223).

The spelling of 10221212022 in words is "ten billion, two hundred twenty-one million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 107 119 214 238 321 337 357 397 642 674 714 749 794 1011 1191 1498 1819 2022 2247 2359 2382 2779 3638 4494 4718 5457 5558 5729 6749 7077 8337 10914 11458 12733 13498 14154 16674 17187 20247 25466 34374 36059 38199 40103 40494 42479 47243 72118 76398 80206 84958 94486 108177 120309 127437 133789 141729 216354 240618 252413 254874 267578 283458 297353 401367 504826 594706 613003 722143 757239 802734 892059 936523 1226006 1444286 1514478 1784118 1839009 1873046 2166429 2274413 2809569 3678018 4291021 4332858 4548826 5055001 5619138 6823239 8582042 10110002 12873063 13646478 14315423 15165003 15920891 25746126 28630846 30330006 31841782 42946269 47762673 85892538 95525346 100207961 200415922 243362191 300623883 486724382 601247766 730086573 1460173146 1703535337 3407070674 5110606011 10221212022