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135325201311 = 3317772820509
BaseRepresentation
bin111111000001000000…
…0101011001110011111
3110221022001020111112000
41332002000223032133
54204121222420221
6142100104413343
712530325142416
oct1760200531637
9427261214460
10135325201311
1152433603753
1222288177253
13c9b8215c21
14679a82047d
1537c0605e26
hex1f8202b39f

135325201311 has 16 divisors (see below), whose sum is σ = 200594671200. Its totient is φ = 90165999744.

The previous prime is 135325201309. The next prime is 135325201339. The reversal of 135325201311 is 113102523531.

135325201311 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 2 + 520 + 131 + 1 = 666.

It is not a de Polignac number, because 135325201311 - 21 = 135325201309 is a prime.

It is a super-3 number, since 3×1353252013113 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135325201351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1362276 + ... + 1458233.

It is an arithmetic number, because the mean of its divisors is an integer number (12537166950).

Almost surely, 2135325201311 is an apocalyptic number.

135325201311 is a deficient number, since it is larger than the sum of its proper divisors (65269469889).

135325201311 is a wasteful number, since it uses less digits than its factorization.

135325201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822295 (or 2822289 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 135325201311 its reverse (113102523531), we get a palindrome (248427724842).

The spelling of 135325201311 in words is "one hundred thirty-five billion, three hundred twenty-five million, two hundred one thousand, three hundred eleven".

Divisors: 1 3 9 27 1777 5331 15993 47979 2820509 8461527 25384581 76153743 5012044493 15036133479 45108400437 135325201311