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131231443424 = 2517833977321
BaseRepresentation
bin111101000111000000…
…0001110100111100000
3110112201202010001102112
41322032000032213200
54122230222142144
6140141545134452
712324015602264
oct1721600164740
9415652101375
10131231443424
1150722801874
122152518a428
13c4b5057c93
1464ccc620a4
15363101099e
hex1e8e00e9e0

131231443424 has 96 divisors (see below), whose sum is σ = 277590843936. Its totient is φ = 60849930240.

The previous prime is 131231443397. The next prime is 131231443429. The reversal of 131231443424 is 424344132131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131231443429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17921684 + ... + 17929004.

It is an arithmetic number, because the mean of its divisors is an integer number (2891571291).

Almost surely, 2131231443424 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 131231443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138795421968).

131231443424 is an abundant number, since it is smaller than the sum of its proper divisors (146359400512).

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

131231443424 is a wasteful number, since it uses less digits than its factorization.

131231443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828 (or 7820 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 131231443424 its reverse (424344132131), we get a palindrome (555575575555).

The spelling of 131231443424 in words is "one hundred thirty-one billion, two hundred thirty-one million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 166 272 332 397 544 664 794 1328 1411 1588 2656 2822 3176 5644 6352 6749 7321 11288 12704 13498 14642 22576 26996 29284 32951 45152 53992 58568 65902 107984 117136 124457 131804 215968 234272 248914 263608 497828 527216 560167 607643 995656 1054432 1120334 1215286 1991312 2240668 2430572 2906437 3982624 4481336 4861144 5812874 8962672 9722288 10329931 11625748 17925344 19444576 20659862 23251496 41319724 46502992 49409429 82639448 93005984 98818858 165278896 197637716 241234271 330557792 395275432 482468542 790550864 964937084 1581101728 1929874168 3859748336 4100982607 7719496672 8201965214 16403930428 32807860856 65615721712 131231443424