Search a number
-
+
10022022124422 = 237111031489141443
BaseRepresentation
bin1001000111010110111100…
…0100011001001110000110
31022111002120221202002022020
42101311233010121032012
52303200100130440142
633152015311344010
72053032023330550
oct221655704311606
938432527662266
1010022022124422
113214352241050
12115a402b22006
135790c3755889
142690d5bcc4d0
15125a68491cec
hex91d6f119386

10022022124422 has 128 divisors (see below), whose sum is σ = 25249722900480. Its totient is φ = 2576100119040.

The previous prime is 10022022124399. The next prime is 10022022124447. The reversal of 10022022124422 is 22442122022001.

It is a junction number, because it is equal to n+sod(n) for n = 10022022124392 and 10022022124401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70784833 + ... + 70926275.

It is an arithmetic number, because the mean of its divisors is an integer number (197263460160).

Almost surely, 210022022124422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022022124422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12624861450240).

10022022124422 is an abundant number, since it is smaller than the sum of its proper divisors (15227700776058).

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

10022022124422 is a wasteful number, since it uses less digits than its factorization.

10022022124422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143058.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10022022124422 its reverse (22442122022001), we get a palindrome (32464144146423).

The spelling of 10022022124422 in words is "ten trillion, twenty-two billion, twenty-two million, one hundred twenty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 103 154 206 231 309 462 618 721 1133 1442 1489 2163 2266 2978 3399 4326 4467 6798 7931 8934 10423 15862 16379 20846 23793 31269 32758 47586 49137 62538 98274 114653 141443 153367 229306 282886 306734 343959 424329 460101 687918 848658 920202 990101 1073569 1555873 1687037 1980202 2147138 2970303 3111746 3220707 3374074 4667619 5061111 5940606 6441414 9335238 10122222 10891111 11809259 14568629 21782222 23618518 29137258 32673333 35427777 43705887 65346666 70855554 87411774 101980403 160254919 203960806 210608627 305941209 320509838 421217254 480764757 611882418 631825881 961529514 1121784433 1263651762 1474260389 2243568866 2316694897 2948520778 3365353299 4422781167 4633389794 6730706598 6950084691 8845562334 13900169382 16216864279 21692688581 32433728558 43385377162 48650592837 65078065743 97301185674 130156131486 151848820067 238619574391 303697640134 455546460201 477239148782 715858723173 911092920402 1431717446346 1670337020737 3340674041474 5011011062211 10022022124422