Search a number
-
+
20433121040202 = 2313273684140351
BaseRepresentation
bin1001010010101011101001…
…11010111101011101001010
32200100101110100010001022020
410221111310322331131022
510134234012441241302
6111242502441105310
74206146534100213
oct451256472753512
980311410101266
1020433121040202
116568702156132
1223600aaa88236
13b52ab179ac00
14508d7b17c40a
152567a43aaebc
hex129574ebd74a

20433121040202 has 96 divisors (see below), whose sum is σ = 44865466753536. Its totient is φ = 6199929216000.

The previous prime is 20433121040161. The next prime is 20433121040221. The reversal of 20433121040202 is 20204012133402.

It is a happy 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, 506364327 + ... + 506404677.

It is an arithmetic number, because the mean of its divisors is an integer number (467348612016).

Almost surely, 220433121040202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20433121040202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22432733376768).

20433121040202 is an abundant number, since it is smaller than the sum of its proper divisors (24432345713334).

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

20433121040202 is a wasteful number, since it uses less digits than its factorization.

20433121040202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47296 (or 47283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20433121040202 its reverse (20204012133402), we get a palindrome (40637133173604).

The spelling of 20433121040202 in words is "twenty trillion, four hundred thirty-three billion, one hundred twenty-one million, forty thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 73 78 146 169 219 338 438 507 949 1014 1898 2847 5694 6841 12337 13682 20523 24674 37011 40351 41046 74022 80702 88933 121053 177866 242106 266799 499393 524563 533598 998786 1049126 1156129 1498179 1573689 2312258 2945623 2996358 3147378 3468387 5891246 6492109 6819319 6936774 8836869 12984218 13638638 17673738 19476327 20457957 38293099 38952654 40915914 76586198 84397417 114879297 168794834 229758594 253192251 276041191 497810287 506384502 552082382 828123573 995620574 1493430861 1656247146 2986861722 3588535483 7177070966 10765606449 20151006943 21531212898 40302013886 46650961279 60453020829 93301922558 120906041658 139952883837 261963090259 279905767674 523926180518 785889270777 1571778541554 3405520173367 6811040346734 10216560520101 20433121040202