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131433133 = 1329348629
BaseRepresentation
bin1111101010110…
…00001010101101
3100011022111100211
413311120022231
5232121330013
621013022421
73154106656
oct765301255
9304274324
10131433133
1168210727
1238024a11
13212cabb0
141365452d
15b81323d
hex7d582ad

131433133 has 8 divisors (see below), whose sum is σ = 146424600. Its totient is φ = 117139008.

The previous prime is 131433121. The next prime is 131433143. The reversal of 131433133 is 331334131.

It can be written as a sum of positive squares in 4 ways, for example, as 37478884 + 93954249 = 6122^2 + 9693^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131433133 - 221 = 129335981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131433143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173938 + ... + 174691.

It is an arithmetic number, because the mean of its divisors is an integer number (18303075).

Almost surely, 2131433133 is an apocalyptic number.

131433133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131433133 is a deficient number, since it is larger than the sum of its proper divisors (14991467).

131433133 is a wasteful number, since it uses less digits than its factorization.

131433133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348671.

The product of its digits is 972, while the sum is 22.

The square root of 131433133 is about 11464.4290307019. The cubic root of 131433133 is about 508.4344313717.

Adding to 131433133 its reverse (331334131), we get a palindrome (462767264).

The spelling of 131433133 in words is "one hundred thirty-one million, four hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 13 29 377 348629 4532177 10110241 131433133