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131313447 = 3341118621
BaseRepresentation
bin1111101001110…
…10111100100111
3100011002102012000
413310322330213
5232104012242
621010300343
73153101016
oct764727447
9304072160
10131313447
1168139811
1237b876b3
1321288585
1413622a7d
15b7dca4c
hex7d3af27

131313447 has 16 divisors (see below), whose sum is σ = 199284960. Its totient is φ = 85406400.

The previous prime is 131313437. The next prime is 131313449. The reversal of 131313447 is 744313131.

131313447 is a `hidden beast` number, since 1 + 313 + 1 + 344 + 7 = 666.

It is not a de Polignac number, because 131313447 - 24 = 131313431 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131313447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58204 + ... + 60417.

It is an arithmetic number, because the mean of its divisors is an integer number (12455310).

Almost surely, 2131313447 is an apocalyptic number.

131313447 is a deficient number, since it is larger than the sum of its proper divisors (67971513).

131313447 is a wasteful number, since it uses less digits than its factorization.

131313447 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118671 (or 118665 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 131313447 is about 11459.2079569227. The cubic root of 131313447 is about 508.2800538503.

Adding to 131313447 its reverse (744313131), we get a palindrome (875626578).

The spelling of 131313447 in words is "one hundred thirty-one million, three hundred thirteen thousand, four hundred forty-seven".

Divisors: 1 3 9 27 41 123 369 1107 118621 355863 1067589 3202767 4863461 14590383 43771149 131313447