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135053431 = 71273367
BaseRepresentation
bin10000000110011…
…00000001110111
3100102010102110221
420003030001313
5234033202211
621222355211
73226635532
oct1003140167
9312112427
10135053431
116a263707
123928bb07
1321c97996
1413d17a19
15bccac71
hex80cc077

135053431 has 12 divisors (see below), whose sum is σ = 139237216. Its totient is φ = 130969440.

The previous prime is 135053417. The next prime is 135053461. The reversal of 135053431 is 134350531.

It is not a de Polignac number, because 135053431 - 29 = 135052919 is a prime.

It is a super-2 number, since 2×1350534312 = 36478858449743522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135053396 and 135053405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135053461) 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 11 ways as a sum of consecutive naturals, for example, 367810 + ... + 368176.

Almost surely, 2135053431 is an apocalyptic number.

135053431 is a deficient number, since it is larger than the sum of its proper divisors (4183785).

135053431 is an frugal number, since it uses more digits than its factorization.

135053431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 135053431 is about 11621.2491153060. The cubic root of 135053431 is about 513.0604533910.

The spelling of 135053431 in words is "one hundred thirty-five million, fifty-three thousand, four hundred thirty-one".

Divisors: 1 71 73 367 5041 5183 26057 26791 367993 1850047 1902161 135053431