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11705107381341 = 3111094932395673
BaseRepresentation
bin1010101001010100111011…
…0001000111110001011101
31112102222221001120221010020
42222111032301013301131
53013234024442200331
640521130241502353
72315444321061423
oct252251661076135
945388831527106
1011705107381341
113803120a68820
1213906409419b9
1366ba2ca4901a
142c675ccd1113
15154723d29c96
hexaa54ec47c5d

11705107381341 has 16 divisors (see below), whose sum is σ = 17027166254400. Its totient is φ = 7093356341120.

The previous prime is 11705107381337. The next prime is 11705107381367. The reversal of 11705107381341 is 14318370150711.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11705107381341 - 22 = 11705107381337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11705107381293 and 11705107381302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11705107381841) 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, 15836520 + ... + 16559153.

It is an arithmetic number, because the mean of its divisors is an integer number (1064197890900).

Almost surely, 211705107381341 is an apocalyptic number.

11705107381341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11705107381341 is a deficient number, since it is larger than the sum of its proper divisors (5322058873059).

11705107381341 is a wasteful number, since it uses less digits than its factorization.

11705107381341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32406636.

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 11705107381341 in words is "eleven trillion, seven hundred five billion, one hundred seven million, three hundred eighty-one thousand, three hundred forty-one".

Divisors: 1 3 11 33 10949 32847 120439 361317 32395673 97187019 356352403 1069057209 354700223677 1064100671031 3901702460447 11705107381341