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131324444316 = 22351331373313
BaseRepresentation
bin111101001001110001…
…0111111111010011100
3110112222020002222200000
41322103202333322130
54122423024204231
6140155110334300
712326225234022
oct1722342777234
9415866088600
10131324444316
115077025280a
122155035a390
13c4cb3baab0
1464db350712
1536392816e6
hex1e938bfe9c

131324444316 has 144 divisors (see below), whose sum is σ = 370964971104. Its totient is φ = 40382447616.

The previous prime is 131324444291. The next prime is 131324444341. The reversal of 131324444316 is 613444423131.

131324444316 is a `hidden beast` number, since 1 + 313 + 24 + 4 + 4 + 4 + 316 = 666.

It is an interprime number because it is at equal distance from previous prime (131324444291) and next prime (131324444341).

It is a super-2 number, since 2×1313244443162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39637476 + ... + 39640788.

Almost surely, 2131324444316 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 131324444316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185482485552).

131324444316 is an abundant number, since it is smaller than the sum of its proper divisors (239640526788).

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

131324444316 is a wasteful number, since it uses less digits than its factorization.

131324444316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6468 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 131324444316 its reverse (613444423131), we get a palindrome (744768867447).

The spelling of 131324444316 in words is "one hundred thirty-one billion, three hundred twenty-four million, four hundred forty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3137 3159 3313 4212 6274 6318 6626 9411 9939 12548 12636 13252 18822 19878 28233 29817 37644 39756 40781 43069 56466 59634 81562 84699 86138 89451 112932 119268 122343 129207 163124 169398 172276 178902 244686 254097 258414 268353 338796 357804 367029 387621 489372 508194 516828 536706 734058 762291 775242 805059 1016388 1073412 1101087 1162863 1468116 1524582 1550484 1610118 2202174 2325726 3049164 3220236 3303261 3488589 4404348 4651452 6606522 6977178 9909783 10392881 10465767 13213044 13954356 19819566 20785762 20931534 31178643 39639132 41571524 41863068 62357286 93535929 124714572 135107453 187071858 270214906 280607787 374143716 405322359 540429812 561215574 810644718 841823361 1122431148 1215967077 1621289436 1683646722 2431934154 2525470083 3367293444 3647901231 4863868308 5050940166 7295802462 10101880332 10943703693 14591604924 21887407386 32831111079 43774814772 65662222158 131324444316