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20420123022 = 23213269353919
BaseRepresentation
bin10011000001001000…
…100101100110001110
31221201010001201200200
4103001020211212032
5313310022414042
613214134034330
71322013116235
oct230110454616
957633051620
1020420123022
118729699732
123b5a7a89a6
131c05743640
14dba007b1c
157e7aa6c4c
hex4c122598e

20420123022 has 96 divisors (see below), whose sum is σ = 48011745600. Its totient is φ = 6235232256.

The previous prime is 20420122973. The next prime is 20420123033. The reversal of 20420123022 is 22032102402.

20420123022 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204201230222 (a number of 21 digits) contains 22 as substring.

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 = 20420122986 and 20420123004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22219479 + ... + 22220397.

It is an arithmetic number, because the mean of its divisors is an integer number (500122350).

Almost surely, 220420123022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20420123022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24005872800).

20420123022 is an abundant number, since it is smaller than the sum of its proper divisors (27591622578).

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

20420123022 is a wasteful number, since it uses less digits than its factorization.

20420123022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1559 counting only the distinct ones).

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

Adding to 20420123022 its reverse (22032102402), we get a palindrome (42452225424).

The spelling of 20420123022 in words is "twenty billion, four hundred twenty million, one hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 269 353 538 706 807 919 1059 1614 1838 2118 2421 2757 3177 3497 4589 4842 5514 6354 6994 8271 9178 10491 11947 13767 16542 20982 23894 27534 31473 35841 41301 62946 71682 82602 94957 107523 189914 215046 247211 284871 324407 494422 569742 648814 741633 854613 973221 1234441 1483266 1709226 1946442 2224899 2468882 2919663 3213743 3703323 4217291 4449798 5839326 6427486 7406646 8434582 9641229 11109969 12651873 19282458 22219938 25303746 28923687 37955619 57847374 75911238 87265483 174530966 261796449 523592898 785389347 1134451279 1570778694 2268902558 3403353837 6806707674 10210061511 20420123022