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135416381 is a prime number
BaseRepresentation
bin10000001001001…
…00101000111101
3100102210212100112
420010210220331
5234131311011
621234235405
73233006642
oct1004445075
9312725315
10135416381
116a491371
1239425b65
1322093c49
1413daddc9
15bd4d58b
hex8124a3d

135416381 has 2 divisors, whose sum is σ = 135416382. Its totient is φ = 135416380.

The previous prime is 135416371. The next prime is 135416389. The reversal of 135416381 is 183614531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93296281 + 42120100 = 9659^2 + 6490^2 .

It is an emirp because it is prime and its reverse (183614531) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135416381 is a prime.

It is a super-2 number, since 2×1354163812 = 36675192486274322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135416389) 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 as a sum of consecutive naturals, namely, 67708190 + 67708191.

It is an arithmetic number, because the mean of its divisors is an integer number (67708191).

Almost surely, 2135416381 is an apocalyptic number.

It is an amenable number.

135416381 is a deficient number, since it is larger than the sum of its proper divisors (1).

135416381 is an equidigital number, since it uses as much as digits as its factorization.

135416381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 32.

The square root of 135416381 is about 11636.8544289254. The cubic root of 135416381 is about 513.5196512154.

The spelling of 135416381 in words is "one hundred thirty-five million, four hundred sixteen thousand, three hundred eighty-one".