Search a number
-
+
20420401122 = 232111734917383
BaseRepresentation
bin10011000001001001…
…101001011111100010
31221201010120212011200
4103001021221133202
5313310110313442
613214144022030
71322015355102
oct230111513742
957633525150
1020420401122
118729869670
123b5a901916
131c058100b4
14dba07b202
157e7b0e34c
hex4c12697e2

20420401122 has 96 divisors (see below), whose sum is σ = 51254985600. Its totient is φ = 5806978560.

The previous prime is 20420401109. The next prime is 20420401129. The reversal of 20420401122 is 22110402402.

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 = 20420401095 and 20420401104.

It is not an unprimeable number, because it can be changed into a prime (20420401129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1166043 + ... + 1183425.

It is an arithmetic number, because the mean of its divisors is an integer number (533906100).

Almost surely, 220420401122 is an apocalyptic number.

20420401122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20420401122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25627492800).

20420401122 is an abundant number, since it is smaller than the sum of its proper divisors (30834584478).

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

20420401122 is a wasteful number, since it uses less digits than its factorization.

20420401122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17768 (or 17765 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20420401122 its reverse (22110402402), we get a palindrome (42530803524).

The spelling of 20420401122 in words is "twenty billion, four hundred twenty million, four hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 349 374 561 698 1047 1122 1683 2094 3141 3366 3839 5933 6282 7678 11517 11866 17383 17799 23034 34551 34766 35598 52149 53397 65263 69102 104298 106794 130526 156447 191213 195789 295511 312894 382426 391578 573639 587367 591022 886533 1147278 1174734 1720917 1773066 2659599 3250621 3441834 5319198 6066667 6501242 9751863 12133334 18200001 19503726 29255589 36400002 54600003 58511178 66733337 103133339 109200006 133466674 200200011 206266678 309400017 400400022 600600033 618800034 928200051 1134466729 1201200066 1856400102 2268933458 3403400187 6806800374 10210200561 20420401122