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127000001 = 4114920789
BaseRepresentation
bin1111001000111…
…01110111000001
322211222021020202
413210131313001
5230003000001
620334014545
73101324252
oct744356701
9284867222
10127000001
1165762a87
1236647455
132040813b
1412c1cb29
15b23996b
hex791ddc1

127000001 has 8 divisors (see below), whose sum is σ = 130977000. Its totient is φ = 123064960.

The previous prime is 126999967. The next prime is 127000007. The reversal of 127000001 is 100000721.

It can be written as a sum of positive squares in 4 ways, for example, as 1560001 + 125440000 = 1249^2 + 11200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127000001 is a prime.

It is a super-2 number, since 2×1270000012 = 32258000508000002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127000007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4286 + ... + 16503.

It is an arithmetic number, because the mean of its divisors is an integer number (16372125).

Almost surely, 2127000001 is an apocalyptic number.

It is an amenable number.

127000001 is a deficient number, since it is larger than the sum of its proper divisors (3976999).

127000001 is a wasteful number, since it uses less digits than its factorization.

127000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20979.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 127000001 is about 11269.4277139525. The cubic root of 127000001 is about 502.6525708506.

Adding to 127000001 its reverse (100000721), we get a palindrome (227000722).

The spelling of 127000001 in words is "one hundred twenty-seven million, one", and thus it is an aban number.

Divisors: 1 41 149 6109 20789 852349 3097561 127000001