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131111252412 = 223797101159319
BaseRepresentation
bin111101000011011010…
…1101111000110111100
3110112102100221201100120
41322012311233012330
54122003440034122
6140122013054540
712321026154210
oct1720665570674
9415370851316
10131111252412
115067097a558
12214b0a87450
13c49619513a
1464bacd6940
1536256bd75c
hex1e86d6f1bc

131111252412 has 96 divisors (see below), whose sum is σ = 356734049280. Its totient is φ = 36706867200.

The previous prime is 131111252381. The next prime is 131111252479. The reversal of 131111252412 is 214252111131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743289 + ... + 902607.

It is an arithmetic number, because the mean of its divisors is an integer number (3715979680).

Almost surely, 2131111252412 is an apocalyptic number.

131111252412 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 131111252412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178367024640).

131111252412 is an abundant number, since it is smaller than the sum of its proper divisors (225622796868).

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

131111252412 is a wasteful number, since it uses less digits than its factorization.

131111252412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159531 (or 159529 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

Adding to 131111252412 its reverse (214252111131), we get a palindrome (345363363543).

The spelling of 131111252412 in words is "one hundred thirty-one billion, one hundred eleven million, two hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 101 194 202 291 303 388 404 582 606 679 707 1164 1212 1358 1414 2037 2121 2716 2828 4074 4242 8148 8484 9797 19594 29391 39188 58782 68579 117564 137158 159319 205737 274316 318638 411474 477957 637276 822948 955914 1115233 1911828 2230466 3345699 4460932 6691398 13382796 15453943 16091219 30907886 32182438 46361829 48273657 61815772 64364876 92723658 96547314 108177601 112638533 185447316 193094628 216355202 225277066 324532803 337915599 432710404 450554132 649065606 675831198 1298131212 1351662396 1560848243 3121696486 4682544729 6243392972 9365089458 10925937701 18730178916 21851875402 32777813103 43703750804 65555626206 131111252412