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127152127 is a prime number
BaseRepresentation
bin1111001010000…
…10111111111111
322212020222221001
413211002333333
5230022332002
620341151131
73102526624
oct745027777
9285228831
10127152127
1165857303
12366bb4a7
132045c45b
1412c5c34b
15b269a87
hex7942fff

127152127 has 2 divisors, whose sum is σ = 127152128. Its totient is φ = 127152126.

The previous prime is 127152107. The next prime is 127152143. The reversal of 127152127 is 721251721.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127152127 is a prime.

It is a super-3 number, since 3×1271521273 (a number of 25 digits) contains 333 as substring.

It is equal to p7225642 and since 127152127 and 7225642 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 127152095 and 127152104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127152107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63576063 + 63576064.

It is an arithmetic number, because the mean of its divisors is an integer number (63576064).

Almost surely, 2127152127 is an apocalyptic number.

127152127 is a deficient number, since it is larger than the sum of its proper divisors (1).

127152127 is an equidigital number, since it uses as much as digits as its factorization.

127152127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1960, while the sum is 28.

The square root of 127152127 is about 11276.1751937437. The cubic root of 127152127 is about 502.8531903075.

The spelling of 127152127 in words is "one hundred twenty-seven million, one hundred fifty-two thousand, one hundred twenty-seven".