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131433211434320 = 24537917681245171
BaseRepresentation
bin11101111000100110101101…
…111000010001010101010000
3122020100220002111011202022122
4131320212231320101111100
5114211400204111344240
61143311330032553412
736453510334662605
oct3570465570212520
9566326074152278
10131433211434320
113897356a4416a4
12128a87786b2868
135845138997333
1424655895366ac
15102dd2d23d4b5
hex7789ade11550

131433211434320 has 80 divisors (see below), whose sum is σ = 306407080566720. Its totient is φ = 52431389337600.

The previous prime is 131433211434319. The next prime is 131433211434323. The reversal of 131433211434320 is 23434112334131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131433211434323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 535965335 + ... + 536210505.

It is an arithmetic number, because the mean of its divisors is an integer number (3830088507084).

Almost surely, 2131433211434320 is an apocalyptic number.

131433211434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131433211434320 is an abundant number, since it is smaller than the sum of its proper divisors (174973869132400).

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

131433211434320 is a wasteful number, since it uses less digits than its factorization.

131433211434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263244 (or 263238 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 131433211434320 its reverse (23434112334131), we get a palindrome (154867323768451).

The spelling of 131433211434320 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, two hundred eleven million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 379 758 1516 1895 3032 3790 6064 7580 15160 17681 30320 35362 70724 88405 141448 176810 245171 282896 353620 490342 707240 980684 1225855 1414480 1961368 2451710 3922736 4903420 6701099 9806840 13402198 19613680 26804396 33505495 53608792 67010990 92919809 107217584 134021980 185839618 268043960 371679236 464599045 536087920 743358472 929198090 1486716944 1858396180 3716792360 4334868451 7433584720 8669736902 17339473804 21674342255 34678947608 43348684510 69357895216 86697369020 173394738040 346789476080 1642915142929 3285830285858 6571660571716 8214575714645 13143321143432 16429151429290 26286642286864 32858302858580 65716605717160 131433211434320