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127381149 = 32719106417
BaseRepresentation
bin1111001011110…
…10111010011101
322212200122002100
413211322322131
5230102144044
620350115313
73104502420
oct745727235
9285618070
10127381149
11659a3385
12367abb39
132050c77c
1412cbb9b7
15b2b2869
hex797ae9d

127381149 has 24 divisors (see below), whose sum is σ = 221349440. Its totient is φ = 68957568.

The previous prime is 127381123. The next prime is 127381151. The reversal of 127381149 is 941183721.

It is a happy number.

It is not a de Polignac number, because 127381149 - 29 = 127380637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127383149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52012 + ... + 54405.

Almost surely, 2127381149 is an apocalyptic number.

127381149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

127381149 is a deficient number, since it is larger than the sum of its proper divisors (93968291).

127381149 is a wasteful number, since it uses less digits than its factorization.

127381149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106449 (or 106446 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 127381149 is about 11286.3257528746. The cubic root of 127381149 is about 503.1549164676.

The spelling of 127381149 in words is "one hundred twenty-seven million, three hundred eighty-one thousand, one hundred forty-nine".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 106417 319251 744919 957753 2021923 2234757 6065769 6704271 14153461 18197307 42460383 127381149