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20340104022 = 2337199317853
BaseRepresentation
bin10010111100010111…
…010101101101010110
31221111112111100021000
4102330113111231112
5313124031312042
613202155004130
71320022013550
oct227427255526
957445440230
1020340104022
118698505227
123b37a39646
131bc1ca7714
14dad5384d0
157e0a4c74c
hex4bc5d5b56

20340104022 has 128 divisors (see below), whose sum is σ = 52141824000. Its totient is φ = 5757257088.

The previous prime is 20340104003. The next prime is 20340104041. The reversal of 20340104022 is 22040104302.

20340104022 is a `hidden beast` number, since 203 + 401 + 0 + 40 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (20340104003) and next prime (20340104041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20340103986 and 20340104004.

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, 23844948 + ... + 23845800.

It is an arithmetic number, because the mean of its divisors is an integer number (407358000).

Almost surely, 220340104022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340104022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26070912000).

20340104022 is an abundant number, since it is smaller than the sum of its proper divisors (31801719978).

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

20340104022 is a wasteful number, since it uses less digits than its factorization.

20340104022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20340104022 its reverse (22040104302), we get a palindrome (42380208324).

The spelling of 20340104022 in words is "twenty billion, three hundred forty million, one hundred four thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 199 317 378 398 597 634 853 951 1194 1393 1706 1791 1902 2219 2559 2786 2853 3582 4179 4438 5118 5373 5706 5971 6657 7677 8358 8559 10746 11942 12537 13314 15354 17118 17913 19971 23031 25074 35826 37611 39942 46062 53739 59913 63083 75222 107478 119826 126166 161217 169747 189249 270401 322434 339494 378498 441581 509241 540802 567747 811203 883162 1018482 1135494 1188229 1324743 1527723 1622406 1703241 1892807 2376458 2433609 2649486 3055446 3406482 3564687 3785614 3974229 4583169 4867218 5678421 7129374 7300827 7948458 9166338 10694061 11356842 11922687 14601654 17035263 21388122 23845374 32082183 34070526 51105789 53809799 64164366 102211578 107619598 161429397 322858794 376668593 484288191 753337186 968576382 1130005779 1452864573 2260011558 2905729146 3390017337 6780034674 10170052011 20340104022