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13241310312 = 23323191125591
BaseRepresentation
bin11000101010011111…
…00101110001101000
31021011210212020222110
430111033211301220
5204104233412222
610025531122320
7646063165146
oct142517456150
937153766873
1013241310312
11568541346a
1226965a33a0
131330391079
148d8822596
1552771b30c
hex3153e5c68

13241310312 has 64 divisors (see below), whose sum is σ = 34723676160. Its totient is φ = 4199729600.

The previous prime is 13241310283. The next prime is 13241310403. The reversal of 13241310312 is 21301314231.

13241310312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42637 + ... + 168227.

It is an arithmetic number, because the mean of its divisors is an integer number (542557440).

Almost surely, 213241310312 is an apocalyptic number.

13241310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13241310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17361838080).

13241310312 is an abundant number, since it is smaller than the sum of its proper divisors (21482365848).

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

13241310312 is a wasteful number, since it uses less digits than its factorization.

13241310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125814 (or 125810 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13241310312 its reverse (21301314231), we get a palindrome (34542624543).

The spelling of 13241310312 in words is "thirteen billion, two hundred forty-one million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 191 276 382 552 573 764 1146 1528 2292 4393 4584 8786 13179 17572 26358 35144 52716 105432 125591 251182 376773 502364 753546 1004728 1507092 2888593 3014184 5777186 8665779 11554372 17331558 23108744 23987881 34663116 47975762 69326232 71963643 95951524 143927286 191903048 287854572 551721263 575709144 1103442526 1655163789 2206885052 3310327578 4413770104 6620655156 13241310312