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20332342422330 = 23517367643168943
BaseRepresentation
bin1001001111101111111100…
…00011000010101100111010
32122222202022220100211010120
410213313332003002230322
510131111114130003310
6111124314341354110
74165651254011601
oct447677603025472
978882286324116
1020332342422330
116529997263994
122344664408936
13b46440883b43
1450413a95aa38
15253d56b1eb70
hex127dfe0c2b3a

20332342422330 has 128 divisors (see below), whose sum is σ = 51889735876608. Its totient is φ = 5081169871872.

The previous prime is 20332342422263. The next prime is 20332342422331. The reversal of 20332342422330 is 3322424323302.

It is a happy number.

It is a super-3 number, since 3×203323424223303 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20332342422291 and 20332342422300.

It is not an unprimeable number, because it can be changed into a prime (20332342422331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120265839 + ... + 120434781.

It is an arithmetic number, because the mean of its divisors is an integer number (405388561536).

Almost surely, 220332342422330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332342422330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944867938304).

20332342422330 is an abundant number, since it is smaller than the sum of its proper divisors (31557393454278).

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

20332342422330 is a wasteful number, since it uses less digits than its factorization.

20332342422330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169980.

The product of its (nonzero) digits is 124416, while the sum is 33.

Adding to 20332342422330 its reverse (3322424323302), we get a palindrome (23654766745632).

The spelling of 20332342422330 in words is "twenty trillion, three hundred thirty-two billion, three hundred forty-two million, four hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 367 510 643 734 1101 1286 1835 1929 2202 3215 3670 3858 5505 6239 6430 9645 10931 11010 12478 18717 19290 21862 31195 32793 37434 54655 62390 65586 93585 109310 163965 168943 187170 235981 327930 337886 471962 506829 707943 844715 1013658 1179905 1415886 1689430 2359810 2534145 2872031 3539715 4011677 5068290 5744062 7079430 8023354 8616093 12035031 14360155 17232186 20058385 24070062 28720310 40116770 43080465 60175155 62002081 86160930 108630349 120350310 124004162 186006243 217260698 310010405 325891047 372012486 543151745 620020810 651782094 930031215 1054035377 1086303490 1629455235 1846715933 1860062430 2108070754 3162106131 3258910470 3693431866 5270176885 5540147799 6324212262 9233579665 10540353770 11080295598 15810530655 18467159330 27700738995 31621061310 39867338083 55401477990 79734676166 119602014249 199336690415 239204028498 398673380830 598010071245 677744747411 1196020142490 1355489494822 2033234242233 3388723737055 4066468484466 6777447474110 10166171211165 20332342422330