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135345303 = 33191931367
BaseRepresentation
bin10000001000100…
…11010010010111
3100102200020212000
420010103102113
5234122022203
621232530343
73232262502
oct1004232227
9312606760
10135345303
116a442a25
12393b09b3
132206a7a2
1413d92139
15bd374a3
hex8113497

135345303 has 32 divisors (see below), whose sum is σ = 212313600. Its totient is φ = 84976128.

The previous prime is 135345277. The next prime is 135345307. The reversal of 135345303 is 303543531.

It is a happy number.

135345303 is a `hidden beast` number, since 1 + 353 + 4 + 5 + 303 = 666.

It is not a de Polignac number, because 135345303 - 28 = 135345047 is a prime.

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 (135345307) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 98326 + ... + 99692.

It is an arithmetic number, because the mean of its divisors is an integer number (6634800).

Almost surely, 2135345303 is an apocalyptic number.

135345303 is a deficient number, since it is larger than the sum of its proper divisors (76968297).

135345303 is a wasteful number, since it uses less digits than its factorization.

135345303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 135345303 is about 11633.8000240678. The cubic root of 135345303 is about 513.4297892715.

Adding to 135345303 its reverse (303543531), we get a palindrome (438888834).

It can be divided in two parts, 1353 and 45303, that added together give a 6-th power (46656 = 66).

The spelling of 135345303 in words is "one hundred thirty-five million, three hundred forty-five thousand, three hundred three".

Divisors: 1 3 9 19 27 57 171 193 513 579 1367 1737 3667 4101 5211 11001 12303 25973 33003 36909 77919 99009 233757 263831 701271 791493 2374479 5012789 7123437 15038367 45115101 135345303