Search a number
-
+
13123113234 = 23711298311801
BaseRepresentation
bin11000011100011001…
…01101000100010010
31020212120110020001220
430032030231010102
5203334004110414
610010105505510
7643126423230
oct141614550422
936776406056
1013123113234
115624723230
122662aa2296
131311a4897a
148c6c55950
1551c16eca9
hex30e32d112

13123113234 has 128 divisors (see below), whose sum is σ = 34261678080. Its totient is φ = 3251136000.

The previous prime is 13123113217. The next prime is 13123113257. The reversal of 13123113234 is 43231132131.

It is a super-2 number, since 2×131231132342 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106134 + ... + 1117934.

It is an arithmetic number, because the mean of its divisors is an integer number (267669360).

Almost surely, 213123113234 is an apocalyptic number.

13123113234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123113234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130839040).

13123113234 is an abundant number, since it is smaller than the sum of its proper divisors (21138564846).

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

13123113234 is a wasteful number, since it uses less digits than its factorization.

13123113234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936.

The product of its digits is 1296, while the sum is 24.

Adding to 13123113234 its reverse (43231132131), we get a palindrome (56354245365).

The spelling of 13123113234 in words is "thirteen billion, one hundred twenty-three million, one hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 83 87 154 166 174 203 231 249 319 406 462 498 581 609 638 913 957 1162 1218 1743 1826 1914 2233 2407 2739 3486 4466 4814 5478 6391 6699 7221 11801 12782 13398 14442 16849 19173 23602 26477 33698 35403 38346 50547 52954 70806 79431 82607 101094 129811 158862 165214 185339 247821 259622 342229 370678 389433 495642 556017 684458 778866 908677 979483 1026687 1112034 1817354 1958966 2053374 2395603 2726031 2938449 3764519 4791206 5452062 5876898 6856381 7186809 7529038 10774313 11293557 13712762 14373618 20569143 21548626 22587114 26351633 28405007 32322939 41138286 52703266 56810014 64645878 75420191 79054899 85215021 150840382 158109798 170430042 198835049 226260573 312455077 397670098 452521146 596505147 624910154 937365231 1193010294 1874730462 2187185539 4374371078 6561556617 13123113234