Search a number
-
+
131165314436 = 22133177957129
BaseRepresentation
bin111101000101000001…
…1111101110110000100
3110112120010200100111202
41322022003331312010
54122111310030221
6140131223522032
712322253530352
oct1721203756604
9415503610452
10131165314436
1150699445112
1221506bb9318
13c4a44433c0
1464c416a7d2
15362a2ebd0b
hex1e8a0fdd84

131165314436 has 24 divisors (see below), whose sum is σ = 247975999320. Its totient is φ = 60346858752.

The previous prime is 131165314421. The next prime is 131165314439. The reversal of 131165314436 is 634413561131.

It can be written as a sum of positive squares in 4 ways, for example, as 2313032836 + 128852281600 = 48094^2 + 358960^2 .

It is a super-2 number, since 2×1311653144362 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131165314436.

It is not an unprimeable number, because it can be changed into a prime (131165314439) 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 7 ways as a sum of consecutive naturals, for example, 3962081 + ... + 3995048.

It is an arithmetic number, because the mean of its divisors is an integer number (10332333305).

Almost surely, 2131165314436 is an apocalyptic number.

It is an amenable number.

131165314436 is a deficient number, since it is larger than the sum of its proper divisors (116810684884).

131165314436 is a wasteful number, since it uses less digits than its factorization.

131165314436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957463 (or 7957461 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

Adding to 131165314436 its reverse (634413561131), we get a palindrome (765578875567).

The spelling of 131165314436 in words is "one hundred thirty-one billion, one hundred sixty-five million, three hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 4 13 26 52 317 634 1268 4121 8242 16484 7957129 15914258 31828516 103442677 206885354 413770708 2522409893 5044819786 10089639572 32791328609 65582657218 131165314436