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131331141656 = 231121331333343
BaseRepresentation
bin111101001001111110…
…0100011000000011000
3110112222200201020200122
41322103330203000120
54122431233013111
6140155510052412
712326336166551
oct1722374430030
9415880636618
10131331141656
1150774007600
122155264a108
13c4cc8c4310
1464dc1b5328
153639b55cdb
hex1e93f23018

131331141656 has 96 divisors (see below), whose sum is σ = 292427546880. Its totient is φ = 54926277120.

The previous prime is 131331141649. The next prime is 131331141677. The reversal of 131331141656 is 656141133131.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3922121 + ... + 3955463.

It is an arithmetic number, because the mean of its divisors is an integer number (3046120280).

Almost surely, 2131331141656 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 131331141656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146213773440).

131331141656 is an abundant number, since it is smaller than the sum of its proper divisors (161096405224).

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

131331141656 is a wasteful number, since it uses less digits than its factorization.

131331141656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33697 (or 33682 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

Adding to 131331141656 its reverse (656141133131), we get a palindrome (787472274787).

The spelling of 131331141656 in words is "one hundred thirty-one billion, three hundred thirty-one million, one hundred forty-one thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 313 484 572 626 968 1144 1252 1573 2504 3146 3443 4069 6292 6886 8138 12584 13772 16276 27544 32552 33343 37873 44759 66686 75746 89518 133372 151492 179036 266744 302984 358072 366773 433459 492349 733546 866918 984698 1467092 1733836 1969396 2934184 3467672 3938792 4034503 4768049 8069006 9536098 10436359 16138012 19072196 20872718 32276024 38144392 41745436 52448539 83490872 104897078 114799949 135672667 209794156 229599898 271345334 419588312 459199796 542690668 918399592 1085381336 1262799439 1492399337 2525598878 2984798674 5051197756 5969597348 10102395512 11939194696 16416392707 32832785414 65665570828 131331141656