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131242021404021 = 32111447991558601
BaseRepresentation
bin11101110101110100101010…
…000100001011110101110101
3122012200121121010101220021100
4131311310222010023311311
5114200232124434412041
61143043430255040313
736433631431354503
oct3565645204136565
9565617533356240
10131242021404021
11388aa4796790a0
12128776bb510099
1358300b9951ca8
14245a20d521673
151028d8d45a6b6
hex775d2a10bd75

131242021404021 has 24 divisors (see below), whose sum is σ = 206819894885760. Its totient is φ = 79535124648000.

The previous prime is 131242021403917. The next prime is 131242021404031. The reversal of 131242021404021 is 120404120242131.

131242021404021 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 42 + 0 + 214 + 0 + 402 + 1 = 666.

It is not a de Polignac number, because 131242021404021 - 211 = 131242021401973 is a prime.

It is a super-3 number, since 3×1312420214040213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131242021404031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44345880 + ... + 47212721.

It is an arithmetic number, because the mean of its divisors is an integer number (8617495620240).

Almost surely, 2131242021404021 is an apocalyptic number.

131242021404021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131242021404021 is a deficient number, since it is larger than the sum of its proper divisors (75577873481739).

131242021404021 is a wasteful number, since it uses less digits than its factorization.

131242021404021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91573097 (or 91573094 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131242021404021 its reverse (120404120242131), we get a palindrome (251646141646152).

The spelling of 131242021404021 in words is "one hundred thirty-one trillion, two hundred forty-two billion, twenty-one million, four hundred four thousand, twenty-one".

Divisors: 1 3 9 11 33 99 14479 43437 130311 159269 477807 1433421 91558601 274675803 824027409 1007144611 3021433833 9064301499 1325676983879 3977030951637 11931092854911 14582446822669 43747340468007 131242021404021