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13105325024 = 2511173136997
BaseRepresentation
bin11000011010010001…
…10110001111100000
31020211022222111020022
430031020312033200
5203314430400044
610004232333012
7642522265451
oct141510661740
936738874208
1013105325024
115615683730
122658b44168
13130b15b1bc
148c4745128
1551a8093ee
hex30d2363e0

13105325024 has 96 divisors (see below), whose sum is σ = 29901838176. Its totient is φ = 5587845120.

The previous prime is 13105325017. The next prime is 13105325029. The reversal of 13105325024 is 42052350131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13105324984 and 13105325002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105325029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1869494 + ... + 1876490.

It is an arithmetic number, because the mean of its divisors is an integer number (311477481).

Almost surely, 213105325024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105325024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950919088).

13105325024 is an abundant number, since it is smaller than the sum of its proper divisors (16796513152).

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

13105325024 is a wasteful number, since it uses less digits than its factorization.

13105325024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 13105325024 its reverse (42052350131), we get a palindrome (55157675155).

The spelling of 13105325024 in words is "thirteen billion, one hundred five million, three hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 313 352 374 544 626 748 1252 1496 2504 2992 3443 5008 5321 5984 6886 6997 10016 10642 13772 13994 21284 27544 27988 42568 55088 55976 58531 76967 85136 110176 111952 117062 118949 153934 170272 223904 234124 237898 307868 468248 475796 615736 936496 951592 1231472 1308439 1872992 1903184 2190061 2462944 2616878 3806368 4380122 5233756 8760244 10467512 17520488 20935024 24090671 35040976 37231037 41870048 48181342 70081952 74462074 96362684 148924148 192725368 297848296 385450736 409541407 595696592 770901472 819082814 1191393184 1638165628 3276331256 6552662512 13105325024