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10010022202122 = 23238310355715233
BaseRepresentation
bin1001000110101010001111…
…0100010100101100001010
31022102221121122202212112120
42101222203310110230022
52303001011140431442
633142312443352110
72052125452556415
oct221524364245412
938387548685476
1010010022202122
11320a254632898
121158014222636
13577c3061a537
142686b81d0b7c
151255b4c394ec
hex91aa3d14b0a

10010022202122 has 128 divisors (see below), whose sum is σ = 21387167133696. Its totient is φ = 3116724559872.

The previous prime is 10010022202109. The next prime is 10010022202211. The reversal of 10010022202122 is 22120222001001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657119818 + ... + 657135050.

It is an arithmetic number, because the mean of its divisors is an integer number (167087243232).

Almost surely, 210010022202122 is an apocalyptic number.

10010022202122 is an abundant number, since it is smaller than the sum of its proper divisors (11377144931574).

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

10010022202122 is a wasteful number, since it uses less digits than its factorization.

10010022202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004.

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

Adding to 10010022202122 its reverse (22120222001001), we get a palindrome (32130244203123).

The spelling of 10010022202122 in words is "ten trillion, ten billion, twenty-two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 46 69 83 103 138 166 206 249 309 498 557 618 1114 1671 1909 2369 3342 3818 4738 5727 7107 8549 11454 12811 14214 15233 17098 25622 25647 30466 38433 45699 46231 51294 57371 76866 91398 92462 114742 138693 172113 196627 277386 344226 350359 393254 589881 700718 1051077 1063313 1179762 1264339 1319533 1568999 2102154 2126626 2528678 2639066 3137998 3189939 3793017 3958599 4706997 4761793 6379878 7586034 7917198 8484781 9413994 9523586 14285379 16969562 25454343 28570758 29079797 36086977 50908686 58159594 72173954 87239391 108260931 109521239 130226917 174478782 195149963 216521862 219042478 260453834 328563717 390299926 390680751 585449889 657127434 704236823 781361502 873932443 1170899778 1408473646 1747864886 2112710469 2621797329 2995219091 4225420938 5243594658 5990438182 8985657273 16197446929 17971314546 20100446189 32394893858 40200892378 48592340787 60301338567 72536392769 97184681574 120602677134 145072785538 217609178307 435218356614 1668337033687 3336674067374 5005011101061 10010022202122