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131130333 = 37173527
BaseRepresentation
bin1111101000011…
…10001111011101
3100010202010000000
413310032033131
5232032132313
621002324513
73151406115
oct764161735
9303663000
10131130333
1168024184
1237ab9739
1321223119
14135b6045
15b7a3673
hex7d0e3dd

131130333 has 32 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 82254528.

The previous prime is 131130317. The next prime is 131130347. The reversal of 131130333 is 333031131.

It is not a de Polignac number, because 131130333 - 24 = 131130317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130313) 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, 35416 + ... + 38942.

It is an arithmetic number, because the mean of its divisors is an integer number (6509160).

Almost surely, 2131130333 is an apocalyptic number.

It is an amenable number.

131130333 is a deficient number, since it is larger than the sum of its proper divisors (77162787).

131130333 is an frugal number, since it uses more digits than its factorization.

131130333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 131130333 is about 11451.2153503460. The cubic root of 131130333 is about 508.0436817895.

Adding to 131130333 its reverse (333031131), we get a palindrome (464161464).

The spelling of 131130333 in words is "one hundred thirty-one million, one hundred thirty thousand, three hundred thirty-three".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 2187 3527 4131 10581 12393 31743 37179 59959 95229 179877 285687 539631 857061 1618893 2571183 4856679 7713549 14570037 43710111 131130333