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135303531 = 31122912853
BaseRepresentation
bin10000001000010…
…01000101101011
3100102121010112220
420010021011223
5234114203111
621232005123
73232026636
oct1004110553
9312533486
10135303531
116a414600
12393907a3
132205477c
1413d80c1d
15bd29e06
hex810916b

135303531 has 24 divisors (see below), whose sum is σ = 205149840. Its totient is φ = 79168320.

The previous prime is 135303521. The next prime is 135303587.

135303531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135303531 - 29 = 135303019 is a prime.

It is a super-2 number, since 2×1353035312 = 36614091002135922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135303521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4101 + ... + 16953.

It is an arithmetic number, because the mean of its divisors is an integer number (8547910).

Almost surely, 2135303531 is an apocalyptic number.

135303531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135303531 is a deficient number, since it is larger than the sum of its proper divisors (69846309).

135303531 is a wasteful number, since it uses less digits than its factorization.

135303531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12907 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 24.

The square root of 135303531 is about 11632.0045993801. The cubic root of 135303531 is about 513.3769634118.

The spelling of 135303531 in words is "one hundred thirty-five million, three hundred three thousand, five hundred thirty-one".

Divisors: 1 3 11 29 33 87 121 319 363 957 3509 10527 12853 38559 141383 372737 424149 1118211 1555213 4100107 4665639 12300321 45101177 135303531