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13106030526 = 2383133191
BaseRepresentation
bin11000011010010111…
…00010011110111110
31020211101022100000000
430031023202132332
5203320120434101
610004255415130
7642531264351
oct141513423676
936741270000
1013106030526
115616015796
1226592244a6
13130b347364
148c488a298
1551a8e8486
hex30d2e27be

13106030526 has 72 divisors (see below), whose sum is σ = 29590548624. Its totient is φ = 4353354720.

The previous prime is 13106030467. The next prime is 13106030527. The reversal of 13106030526 is 62503060131.

13106030526 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 603 + 0 + 52 + 6 = 666.

It is a super-2 number, since 2×131060305262 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13106030526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106030527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4105591 + ... + 4108781.

It is an arithmetic number, because the mean of its divisors is an integer number (410979842).

Almost surely, 213106030526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106030526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14795274312).

13106030526 is an abundant number, since it is smaller than the sum of its proper divisors (16484518098).

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

13106030526 is an frugal number, since it uses more digits than its factorization.

13106030526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13106030526 its reverse (62503060131), we get a palindrome (75609090657).

The spelling of 13106030526 in words is "thirteen billion, one hundred six million, thirty thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 313 486 626 729 939 1458 1878 2187 2817 3191 4374 5634 6382 6561 8451 9573 13122 16902 19146 25353 28719 50706 57438 76059 86157 152118 172314 228177 258471 456354 516942 684531 775413 998783 1369062 1550826 1997566 2053593 2326239 2996349 4107186 4652478 5992698 6978717 8989047 13957434 17978094 20936151 26967141 41872302 53934282 80901423 161802846 242704269 485408538 728112807 1456225614 2184338421 4368676842 6553015263 13106030526