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20032022013330 = 23519293016940169
BaseRepresentation
bin1001000111000000100011…
…00011100110010110010010
32121221001011001112022212110
410203200101203212112102
510111201040113411310
6110334330041010150
74135160115445215
oct443402143462622
977831131468773
1020032022013330
116423595213668
1222b640b783956
13b2401c55cb12
144d37ab05177c
1524b12b26ed20
hex1238118e6592

20032022013330 has 128 divisors (see below), whose sum is σ = 52355328480000. Its totient is φ = 4885930119168.

The previous prime is 20032022013319. The next prime is 20032022013373. The reversal of 20032022013330 is 3331022023002.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20032022013297 and 20032022013306.

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, 498673486 + ... + 498713654.

It is an arithmetic number, because the mean of its divisors is an integer number (409026003750).

Almost surely, 220032022013330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20032022013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177664240000).

20032022013330 is an abundant number, since it is smaller than the sum of its proper divisors (32323306466670).

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

20032022013330 is a wasteful number, since it uses less digits than its factorization.

20032022013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70396.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20032022013330 its reverse (3331022023002), we get a palindrome (23363044036332).

The spelling of 20032022013330 in words is "twenty trillion, thirty-two billion, twenty-two million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2755 3306 5510 8265 16530 30169 40169 60338 80338 90507 120507 150845 181014 200845 241014 301690 401690 452535 573211 602535 763211 874901 905070 1146422 1164901 1205070 1526422 1719633 1749802 2289633 2329802 2624703 2866055 3439266 3494703 3816055 4374505 4579266 5249406 5732110 5824505 6989406 7632110 8598165 8749010 11448165 11649010 13123515 16623119 17196330 17473515 22133119 22896330 26247030 33246238 34947030 44266238 49869357 66399357 83115595 99738714 110665595 132798714 166231190 221331190 249346785 331996785 498693570 663993570 1211858561 2423717122 3635575683 6059292805 7271151366 12118585610 18177878415 23025312659 35143898269 36355756830 46050625318 69075937977 70287796538 105431694807 115126563295 138151875954 175719491345 210863389614 230253126590 345379689885 351438982690 527158474035 667734067111 690759379770 1054316948070 1335468134222 2003202201333 3338670335555 4006404402666 6677340671110 10016011006665 20032022013330