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10127 = 131941
BaseRepresentation
bin10011110001111
3111220002
42132033
5311002
6114515
741345
oct23617
914802
1010127
117677
125a3b
1347c0
143995
153002
hex278f

10127 has 8 divisors (see below), whose sum is σ = 11760. Its totient is φ = 8640.

The previous prime is 10111. The next prime is 10133. The reversal of 10127 is 72101.

10127 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 10127 - 24 = 10111 is a prime.

It is a super-2 number, since 2×101272 = 205112258, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10177) 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, 227 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

210127 is an apocalyptic number.

10127 is a deficient number, since it is larger than the sum of its proper divisors (1633).

10127 is a wasteful number, since it uses less digits than its factorization.

10127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73.

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

The square root of 10127 is about 100.6329965767. The cubic root of 10127 is about 21.6351679049.

Multiplying 10127 by its product of nonzero digits (14), we get a triangular number (141778 = T532).

Adding to 10127 its reverse (72101), we get a palindrome (82228).

It can be divided in two parts, 101 and 27, that added together give a 7-th power (128 = 27).

The spelling of 10127 in words is "ten thousand, one hundred twenty-seven", and thus it is an iban number.

Divisors: 1 13 19 41 247 533 779 10127