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131041043205 = 35411371555291
BaseRepresentation
bin111101000001010100…
…1111010001100000101
3110112020110211201102120
41322002221322030011
54121333001340310
6140111024200153
712316214326512
oct1720251721405
9415213751376
10131041043205
1150635286316
1221491469059
13c484782327
1464b185c309
15361e450b70
hex1e82a7a305

131041043205 has 32 divisors (see below), whose sum is σ = 216347338368. Its totient is φ = 67686220800.

The previous prime is 131041043201. The next prime is 131041043207. The reversal of 131041043205 is 502340140131.

It is a happy number.

It is not a de Polignac number, because 131041043205 - 22 = 131041043201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041043201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693391 + ... + 861900.

It is an arithmetic number, because the mean of its divisors is an integer number (6760854324).

Almost surely, 2131041043205 is an apocalyptic number.

131041043205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131041043205 is a deficient number, since it is larger than the sum of its proper divisors (85306295163).

131041043205 is a wasteful number, since it uses less digits than its factorization.

131041043205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555477.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 131041043205 its reverse (502340140131), we get a palindrome (633381183336).

The spelling of 131041043205 in words is "one hundred thirty-one billion, forty-one million, forty-three thousand, two hundred five".

Divisors: 1 3 5 15 41 123 137 205 411 615 685 2055 5617 16851 28085 84255 1555291 4665873 7776455 23329365 63766931 191300793 213074867 318834655 639224601 956503965 1065374335 3196123005 8736069547 26208208641 43680347735 131041043205