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131404120134111 = 32111327314344789
BaseRepresentation
bin11101111000001011100111…
…111001110001000111011111
3122020021010000001202120201100
4131320023213321301013133
5114210411114223242421
61143250115221244143
736451430411005356
oct3570134771610737
9566233001676640
10131404120134111
11389621a1132230
12128a2bb9b63653
135842480953726
142463dc9a7099d
15102d1c92adc26
hex7782e7e711df

131404120134111 has 12 divisors (see below), whose sum is σ = 207061037787240. Its totient is φ = 79638860687280.

The previous prime is 131404120134083. The next prime is 131404120134127. The reversal of 131404120134111 is 111431021404131.

131404120134111 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 41 + 201 + 3 + 411 + 1 = 666.

It is not a de Polignac number, because 131404120134111 - 211 = 131404120132063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131404120134191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663657172296 + ... + 663657172493.

It is an arithmetic number, because the mean of its divisors is an integer number (17255086482270).

Almost surely, 2131404120134111 is an apocalyptic number.

131404120134111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131404120134111 is a deficient number, since it is larger than the sum of its proper divisors (75656917653129).

131404120134111 is a wasteful number, since it uses less digits than its factorization.

131404120134111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327314344806 (or 1327314344803 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131404120134111 its reverse (111431021404131), we get a palindrome (242835141538242).

The spelling of 131404120134111 in words is "one hundred thirty-one trillion, four hundred four billion, one hundred twenty million, one hundred thirty-four thousand, one hundred eleven".

Divisors: 1 3 9 11 33 99 1327314344789 3981943034367 11945829103101 14600457792679 43801373378037 131404120134111