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131320603336 = 231361173119653
BaseRepresentation
bin111101001001101010…
…0010110001011001000
3110112221221212211211111
41322103110112023020
54122421033301321
6140154452140104
712326150465566
oct1722324261310
9415857784744
10131320603336
1150769069a4a
122154b007634
13c4ca674720
1464daa30a36
153638c735e1
hex1e935162c8

131320603336 has 64 divisors (see below), whose sum is σ = 271073743920. Its totient is φ = 59270814720.

The previous prime is 131320603321. The next prime is 131320603339. The reversal of 131320603336 is 633306023131.

It can be written as a sum of positive squares in 8 ways, for example, as 53641339236 + 77679264100 = 231606^2 + 278710^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131320603298 and 131320603307.

It is not an unprimeable number, because it can be changed into a prime (131320603339) by changing a digit.

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, 1037686 + ... + 1157338.

Almost surely, 2131320603336 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 131320603336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135536871960).

131320603336 is an abundant number, since it is smaller than the sum of its proper divisors (139753140584).

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

131320603336 is a wasteful number, since it uses less digits than its factorization.

131320603336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119906 (or 119902 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 131320603336 its reverse (633306023131), we get a palindrome (764626626467).

The spelling of 131320603336 in words is "one hundred thirty-one billion, three hundred twenty million, six hundred three thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 61 104 122 173 244 346 488 692 793 1384 1586 2249 3172 4498 6344 8996 10553 17992 21106 42212 84424 119653 137189 239306 274378 478612 548756 957224 1097512 1555489 3110978 6221956 7298833 12443912 14597666 20699969 29195332 41399938 58390664 82799876 94884829 165599752 189769658 269099597 379539316 538199194 759078632 1076398388 1262698109 2152796776 2525396218 5050792436 10101584872 16415075417 32830150834 65660301668 131320603336