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131133333 = 373959149
BaseRepresentation
bin1111101000011…
…10111110010101
3100010202021010010
413310032332111
5232032231313
621002350433
73151420632
oct764167625
9303667103
10131133333
1168026461
1237abb419
13212245b6
14135b7189
15b7a44c3
hex7d0ef95

131133333 has 8 divisors (see below), whose sum is σ = 175084000. Its totient is φ = 87302448.

The previous prime is 131133329. The next prime is 131133349. The reversal of 131133333 is 333331131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131133333 - 22 = 131133329 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

131133333 is a modest number, since divided by 33333 gives 1311 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131143333) 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 7 ways as a sum of consecutive naturals, for example, 27358 + ... + 31791.

It is an arithmetic number, because the mean of its divisors is an integer number (21885500).

Almost surely, 2131133333 is an apocalyptic number.

It is an amenable number.

131133333 is a deficient number, since it is larger than the sum of its proper divisors (43950667).

131133333 is an equidigital number, since it uses as much as digits as its factorization.

131133333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59891.

The product of its digits is 729, while the sum is 21.

The square root of 131133333 is about 11451.3463400598. The cubic root of 131133333 is about 508.0475561014.

Adding to 131133333 its reverse (333331131), we get a palindrome (464464464).

The spelling of 131133333 in words is "one hundred thirty-one million, one hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 739 2217 59149 177447 43711111 131133333