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135642313 is a prime number
BaseRepresentation
bin10000001010110…
…11110011001001
3100110020100021101
420011123303021
5234211023223
621243141401
73234640432
oct1005336311
9313210241
10135642313
116a626094
1239514861
1322142a31
141402c489
15bd954ad
hex815bcc9

135642313 has 2 divisors, whose sum is σ = 135642314. Its totient is φ = 135642312.

The previous prime is 135642307. The next prime is 135642341. The reversal of 135642313 is 313246531.

It is an a-pointer prime, because the next prime (135642341) can be obtained adding 135642313 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83759104 + 51883209 = 9152^2 + 7203^2 .

It is a cyclic number.

It is not a de Polignac number, because 135642313 - 217 = 135511241 is a prime.

It is not a weakly prime, because it can be changed into another prime (135642343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67821156 + 67821157.

It is an arithmetic number, because the mean of its divisors is an integer number (67821157).

Almost surely, 2135642313 is an apocalyptic number.

It is an amenable number.

135642313 is a deficient number, since it is larger than the sum of its proper divisors (1).

135642313 is an equidigital number, since it uses as much as digits as its factorization.

135642313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 28.

The square root of 135642313 is about 11646.5579893804. The cubic root of 135642313 is about 513.8050821136.

Adding to 135642313 its reverse (313246531), we get a palindrome (448888844).

The spelling of 135642313 in words is "one hundred thirty-five million, six hundred forty-two thousand, three hundred thirteen".