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20031322202034 = 231113293919205423
BaseRepresentation
bin1001000110111111001111…
…10110000001111110110010
32121220222100021201020020120
410203133213312001332302
510111143121440431114
6110334132401351110
74135133560241103
oct443374766017662
977828307636216
1020031322202034
116423266193020
1222b6255338496
13b23c3a5885b0
144d37421263aa
1524b0d9ad85a9
hex1237e7d81fb2

20031322202034 has 128 divisors (see below), whose sum is σ = 48702250598400. Its totient is φ = 5408547621120.

The previous prime is 20031322202009. The next prime is 20031322202051. The reversal of 20031322202034 is 43020222313002.

It is a junction number, because it is equal to n+sod(n) for n = 20031322201995 and 20031322202013.

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, 97409847 + ... + 97615269.

It is an arithmetic number, because the mean of its divisors is an integer number (380486332800).

Almost surely, 220031322202034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031322202034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24351125299200).

20031322202034 is an abundant number, since it is smaller than the sum of its proper divisors (28670928396366).

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

20031322202034 is a wasteful number, since it uses less digits than its factorization.

20031322202034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209400.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20031322202034 its reverse (43020222313002), we get a palindrome (63051544515036).

The spelling of 20031322202034 in words is "twenty trillion, thirty-one billion, three hundred twenty-two million, two hundred two thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 377 429 638 754 858 957 1131 1914 2262 3919 4147 7838 8294 11757 12441 23514 24882 43109 50947 86218 101894 113651 129327 152841 205423 227302 258654 305682 340953 410846 560417 616269 681906 1120834 1232538 1250161 1477463 1681251 2259653 2500322 2670499 2954926 3362502 3750483 4432389 4519306 5340998 5957267 6778959 7500966 8011497 8864778 11914534 13557918 16022994 16252093 17871801 29375489 32504186 35743602 48756279 58750978 65529937 77444471 88126467 97512558 131059874 154888942 176252934 196589811 232333413 393179622 464666826 805052737 851889181 1610105474 1703778362 2415158211 2555667543 4830316422 5111335086 8855580107 10465685581 17711160214 20931371162 23346529373 26566740321 31397056743 46693058746 53133480642 62794113486 70039588119 115122541391 140079176238 230245082782 256811823103 303504881849 345367624173 513623646206 607009763698 690735248346 770435469309 910514645547 1540870938618 1821029291094 3338553700339 6677107400678 10015661101017 20031322202034