Search a number
-
+
131303000010208 = 25138592671137567
BaseRepresentation
bin11101110110101101011100…
…101011000110110111100000
3122012220102222211102001100011
4131312231130223012313200
5114202232021000311313
61143131433202134304
736441220513100455
oct3566553453066740
9565812884361304
10131303000010208
11389233204974a4
1212887499051394
135835a870686a0
14245d155d5382c
15102a75ba6593d
hex776b5cac6de0

131303000010208 has 96 divisors (see below), whose sum is σ = 278818068049920. Its totient is φ = 60507733777920.

The previous prime is 131303000010199. The next prime is 131303000010307. The reversal of 131303000010208 is 802010000303131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954397041 + ... + 954534607.

It is an arithmetic number, because the mean of its divisors is an integer number (2904354875520).

Almost surely, 2131303000010208 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 131303000010208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139409034024960).

131303000010208 is an abundant number, since it is smaller than the sum of its proper divisors (147515068039712).

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

131303000010208 is a wasteful number, since it uses less digits than its factorization.

131303000010208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141120 (or 141112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131303000010208 its reverse (802010000303131), we get a palindrome (933313000313339).

The spelling of 131303000010208 in words is "one hundred thirty-one trillion, three hundred three billion, ten thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 859 1718 2671 3436 5342 6872 10684 11167 13744 21368 22334 27488 34723 42736 44668 69446 85472 89336 137567 138892 178672 275134 277784 357344 550268 555568 1100536 1111136 1788371 2201072 2294389 3576742 4402144 4588778 7153484 9177556 14306968 18355112 28613936 29827057 36710224 57227872 59654114 73420448 118170053 119308228 236340106 238616456 367441457 472680212 477232912 734882914 945360424 954465824 1469765828 1536210689 1890720848 2939531656 3072421378 3781441696 4776738941 5879063312 6144842756 9553477882 11758126624 12289685512 19106955764 24579371024 38213911528 49158742048 76427823056 152855646112 315632211563 631264423126 1262528846252 2525057692504 4103218750319 5050115385008 8206437500638 10100230770016 16412875001276 32825750002552 65651500005104 131303000010208