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135105431 is a prime number
BaseRepresentation
bin10000000110110…
…00101110010111
3100102020001210212
420003120232113
5234041333211
621223440035
73230243246
oct1003305627
9312201725
10135105431
116a29978a
12392b601b
1321cb5556
1413d2c95d
15bcdb38b
hex80d8b97

135105431 has 2 divisors, whose sum is σ = 135105432. Its totient is φ = 135105430.

The previous prime is 135105419. The next prime is 135105479. The reversal of 135105431 is 134501531.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 135105431 - 210 = 135104407 is a prime.

It is a super-3 number, since 3×1351054313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 135105397 and 135105406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135105331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67552715 + 67552716.

It is an arithmetic number, because the mean of its divisors is an integer number (67552716).

Almost surely, 2135105431 is an apocalyptic number.

135105431 is a deficient number, since it is larger than the sum of its proper divisors (1).

135105431 is an equidigital number, since it uses as much as digits as its factorization.

135105431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 135105431 is about 11623.4861810044. The cubic root of 135105431 is about 513.1262933083.

Adding to 135105431 its reverse (134501531), we get a palindrome (269606962).

The spelling of 135105431 in words is "one hundred thirty-five million, one hundred five thousand, four hundred thirty-one".