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131444252205 = 3572791448531
BaseRepresentation
bin111101001101010110…
…0000001111000101101
3110120021120112212012020
41322122230001320231
54123144212032310
6140215030300353
712332211465120
oct1723254017055
9416246485166
10131444252205
11508219431a2
12215844b76b9
13c51a178436
14650d21a3b7
153644a4a170
hex1e9ab01e2d

131444252205 has 32 divisors (see below), whose sum is σ = 240441858048. Its totient is φ = 60067137600.

The previous prime is 131444252197. The next prime is 131444252249. The reversal of 131444252205 is 502252444131.

It is not a de Polignac number, because 131444252205 - 23 = 131444252197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68790 + ... + 517320.

It is an arithmetic number, because the mean of its divisors is an integer number (7513808064).

Almost surely, 2131444252205 is an apocalyptic number.

131444252205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131444252205 is a deficient number, since it is larger than the sum of its proper divisors (108997605843).

131444252205 is a wasteful number, since it uses less digits than its factorization.

131444252205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451337.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 131444252205 its reverse (502252444131), we get a palindrome (633696696336).

The spelling of 131444252205 in words is "one hundred thirty-one billion, four hundred forty-four million, two hundred fifty-two thousand, two hundred five".

Divisors: 1 3 5 7 15 21 35 105 2791 8373 13955 19537 41865 58611 97685 293055 448531 1345593 2242655 3139717 6727965 9419151 15698585 47095755 1251850021 3755550063 6259250105 8762950147 18777750315 26288850441 43814750735 131444252205