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131324514014430 = 232511231435731799
BaseRepresentation
bin11101110111000001011111…
…000000100001010011011110
3122012222111112011210200221100
4131313001133000201103132
5114203110101041430210
61143145352054013530
736442611611110032
oct3567013700412336
9565874464720840
10131324514014430
11389314605a1280
121288b6a20472a6
135837b052c98b9
1424601d73461c2
15102b0ba6955c0
hex77705f0214de

131324514014430 has 96 divisors (see below), whose sum is σ = 372500235993600. Its totient is φ = 31834864635840.

The previous prime is 131324514014417. The next prime is 131324514014459. The reversal of 131324514014430 is 34410415423131.

131324514014430 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 245 + 1 + 401 + 4 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×1313245140144302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20045671 + ... + 25777469.

It is an arithmetic number, because the mean of its divisors is an integer number (3880210791600).

Almost surely, 2131324514014430 is an apocalyptic number.

131324514014430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131324514014430 is an abundant number, since it is smaller than the sum of its proper divisors (241175721979170).

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

131324514014430 is a wasteful number, since it uses less digits than its factorization.

131324514014430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754966 (or 5754963 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 131324514014430 its reverse (34410415423131), we get a palindrome (165734929437561).

The spelling of 131324514014430 in words is "one hundred thirty-one trillion, three hundred twenty-four billion, five hundred fourteen million, fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 23143 46286 69429 115715 138858 208287 231430 254573 347145 416574 509146 694290 763719 1041435 1272865 1527438 2082870 2291157 2545730 3818595 4582314 5731799 7637190 11455785 11463598 17195397 22911570 28658995 34390794 51586191 57317990 63049789 85976985 103172382 126099578 171953970 189149367 257930955 315248945 378298734 515861910 567448101 630497890 945746835 1134896202 1891493670 2837240505 5674481010 132651024257 265302048514 397953072771 663255121285 795906145542 1193859218313 1326510242570 1459161266827 1989765363855 2387718436626 2918322533654 3979530727710 4377483800481 5969296091565 7295806334135 8754967600962 11938592183130 13132451401443 14591612668270 21887419002405 26264902802886 43774838004810 65662257007215 131324514014430