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127993381 is a prime number
BaseRepresentation
bin1111010000100…
…00011000100101
322220211201220121
413220100120211
5230231242011
620411201541
73112632355
oct750203045
9286751817
10127993381
116628135a
1236a462b1
1320695339
1412ddab65
15b383e71
hex7a10625

127993381 has 2 divisors, whose sum is σ = 127993382. Its totient is φ = 127993380.

The previous prime is 127993339. The next prime is 127993399. The reversal of 127993381 is 183399721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90060100 + 37933281 = 9490^2 + 6159^2 .

It is an emirp because it is prime and its reverse (183399721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127993381 - 211 = 127991333 is a prime.

It is a super-4 number, since 4×1279933814 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127993331) 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, 63996690 + 63996691.

It is an arithmetic number, because the mean of its divisors is an integer number (63996691).

Almost surely, 2127993381 is an apocalyptic number.

It is an amenable number.

127993381 is a deficient number, since it is larger than the sum of its proper divisors (1).

127993381 is an equidigital number, since it uses as much as digits as its factorization.

127993381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 43.

The square root of 127993381 is about 11313.4159739665. The cubic root of 127993381 is about 503.9597329151.

The spelling of 127993381 in words is "one hundred twenty-seven million, nine hundred ninety-three thousand, three hundred eighty-one".