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2123131 = 47199227
BaseRepresentation
bin1000000110010101111011
310222212101111
420012111323
51020420011
6113301151
724021613
oct10062573
93885344
102123131
11122015a
128647b7
135944ba
143d3a43
152be121
hex20657b

2123131 has 8 divisors (see below), whose sum is σ = 2188800. Its totient is φ = 2058408.

The previous prime is 2123129. The next prime is 2123137. The reversal of 2123131 is 1313212.

2123131 is digitally balanced in base 2, 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 2123131 - 21 = 2123129 is a prime.

It is a super-2 number, since 2×21231312 = 9015370486322, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2123137) 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 7 ways as a sum of consecutive naturals, for example, 9240 + ... + 9466.

It is an arithmetic number, because the mean of its divisors is an integer number (273600).

22123131 is an apocalyptic number.

2123131 is a deficient number, since it is larger than the sum of its proper divisors (65669).

2123131 is a wasteful number, since it uses less digits than its factorization.

2123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473.

The product of its digits is 36, while the sum is 13.

The square root of 2123131 is about 1457.0967709799. The cubic root of 2123131 is about 128.5263765140.

Adding to 2123131 its reverse (1313212), we get a palindrome (3436343).

The spelling of 2123131 in words is "two million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 47 199 227 9353 10669 45173 2123131