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135344331 = 3313013853
BaseRepresentation
bin10000001000100…
…11000011001011
3100102200012112000
420010103003023
5234122004311
621232522043
73232256613
oct1004230313
9312605460
10135344331
116a442221
12393b0323
132206a205
1413d91a43
15bd37056
hex81130cb

135344331 has 16 divisors (see below), whose sum is σ = 200716320. Its totient is φ = 90136800.

The previous prime is 135344323. The next prime is 135344333. The reversal of 135344331 is 133443531.

It is not a de Polignac number, because 135344331 - 23 = 135344323 is a prime.

It is a super-2 number, since 2×1353443312 = 36636175867675122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 135344295 and 135344304.

It is not an unprimeable number, because it can be changed into a prime (135344333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33201 + ... + 37053.

It is an arithmetic number, because the mean of its divisors is an integer number (12544770).

Almost surely, 2135344331 is an apocalyptic number.

135344331 is a deficient number, since it is larger than the sum of its proper divisors (65371989).

135344331 is a wasteful number, since it uses less digits than its factorization.

135344331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5163 (or 5157 counting only the distinct ones).

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

The square root of 135344331 is about 11633.7582491644. The cubic root of 135344331 is about 513.4285601808.

Adding to 135344331 its reverse (133443531), we get a palindrome (268787862).

The spelling of 135344331 in words is "one hundred thirty-five million, three hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 27 1301 3853 3903 11559 11709 34677 35127 104031 5012753 15038259 45114777 135344331