Search a number
-
+
13323222233022 = 23139725744315467
BaseRepresentation
bin1100000111100000110111…
…1011011010111110111110
31202011200120021011020000010
43001320031323122332332
53221241424342424042
644200334230444050
72543366603300232
oct301701573327676
952150507136003
1013323222233022
11427738a684409
1215b2168203626
137584b39160c0
14340bc13845c2
1518187a90259c
hexc1e0dedafbe

13323222233022 has 128 divisors (see below), whose sum is σ = 29172402491904. Its totient is φ = 4032020348928.

The previous prime is 13323222233021. The next prime is 13323222233039. The reversal of 13323222233022 is 22033222232331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323222233021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 861388933 + ... + 861404399.

It is an arithmetic number, because the mean of its divisors is an integer number (227909394468).

Almost surely, 213323222233022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323222233022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586201245952).

13323222233022 is an abundant number, since it is smaller than the sum of its proper divisors (15849180258882).

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

13323222233022 is a wasteful number, since it uses less digits than its factorization.

13323222233022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 13323222233022 its reverse (22033222232331), we get a palindrome (35356444465353).

The spelling of 13323222233022 in words is "thirteen trillion, three hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 97 194 257 291 443 514 582 771 886 1261 1329 1542 2522 2658 3341 3783 5759 6682 7566 10023 11518 15467 17277 20046 24929 30934 34554 42971 46401 49858 74787 85942 92802 113851 128913 149574 201071 227702 257826 324077 341553 402142 558623 603213 648154 683106 972231 1117246 1206426 1480063 1500299 1675869 1944462 2960126 3000598 3351738 3975019 4440189 4500897 6851881 7950038 8880378 9001794 11043547 11925057 13703762 19503887 20555643 22087094 23850114 33130641 39007774 41111286 51675247 58511661 66261282 89074453 103350494 117023322 143566111 155025741 178148906 267223359 287132222 310051482 385576843 430698333 534446718 664632457 771153686 861396666 1156730529 1329264914 1760933417 1993897371 2313461058 3521866834 3987794742 5012498959 5282800251 8640221941 10024997918 10565600502 15037496877 17280443882 22892134421 25920665823 30074993754 45784268842 51841331646 68676403263 137352806526 170810541449 341621082898 512431624347 1024863248694 2220537038837 4441074077674 6661611116511 13323222233022