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2123127 = 32534451
BaseRepresentation
bin1000000110010101110111
310222212101100
420012111313
51020420002
6113301143
724021606
oct10062567
93885340
102123127
111220156
128647b3
135944b6
143d3a3d
152be11c
hex206577

2123127 has 12 divisors (see below), whose sum is σ = 3125304. Its totient is φ = 1388400.

The previous prime is 2123123. The next prime is 2123129. The reversal of 2123127 is 7213212.

2123127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2123127 - 22 = 2123123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123123) 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 in 11 ways as a sum of consecutive naturals, for example, 1749 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (260442).

22123127 is an apocalyptic number.

2123127 is a deficient number, since it is larger than the sum of its proper divisors (1002177).

2123127 is a wasteful number, since it uses less digits than its factorization.

2123127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4507 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2123127 is about 1457.0953983868. The cubic root of 2123127 is about 128.5262957990.

Adding to 2123127 its reverse (7213212), we get a palindrome (9336339).

The spelling of 2123127 in words is "two million, one hundred twenty-three thousand, one hundred twenty-seven".

Divisors: 1 3 9 53 159 477 4451 13353 40059 235903 707709 2123127