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133431345 = 3252965141
BaseRepresentation
bin1111111010000…
…00000000110001
3100022002000101200
413331000000301
5233124300340
621123521413
73210101445
oct775000061
9308060350
10133431345
1169355a43
1238829269
132184a578
1413a14825
15baaa330
hex7f40031

133431345 has 12 divisors (see below), whose sum is σ = 231281076. Its totient is φ = 71163360.

The previous prime is 133431307. The next prime is 133431367. The reversal of 133431345 is 543134331.

It can be written as a sum of positive squares in 2 ways, for example, as 34468641 + 98962704 = 5871^2 + 9948^2 .

It is not a de Polignac number, because 133431345 - 29 = 133430833 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1482526 + ... + 1482615.

It is an arithmetic number, because the mean of its divisors is an integer number (19273423).

Almost surely, 2133431345 is an apocalyptic number.

133431345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133431345 is a deficient number, since it is larger than the sum of its proper divisors (97849731).

133431345 is a wasteful number, since it uses less digits than its factorization.

133431345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965152 (or 2965149 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 133431345 is about 11551.2486338058. The cubic root of 133431345 is about 510.9981030435.

Adding to 133431345 its reverse (543134331), we get a palindrome (676565676).

The spelling of 133431345 in words is "one hundred thirty-three million, four hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 2965141 8895423 14825705 26686269 44477115 133431345