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2132113 is a prime number
BaseRepresentation
bin1000001000100010010001
311000022201011
420020202101
51021211423
6113410521
724060034
oct10104221
94008634
102132113
111226985
12869a41
13598609
143d701b
152c1b0d
hex208891

2132113 has 2 divisors, whose sum is σ = 2132114. Its totient is φ = 2132112.

The previous prime is 2132107. The next prime is 2132129. The reversal of 2132113 is 3112312.

2132113 = 10322 + 10332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1067089 + 1065024 = 1033^2 + 1032^2 .

It is a cyclic number.

It is not a de Polignac number, because 2132113 - 29 = 2131601 is a prime.

It is a d-powerful number, because it can be written as 215 + 1 + 3 + 221 + 1 + 1 + 37 .

It is a junction number, because it is equal to n+sod(n) for n = 2132093 and 2132102.

It is not a weakly prime, because it can be changed into another prime (2132153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066056 + 1066057.

It is an arithmetic number, because the mean of its divisors is an integer number (1066057).

22132113 is an apocalyptic number.

2132113 is the 1033-rd centered square number.

It is an amenable number.

2132113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2132113 is an equidigital number, since it uses as much as digits as its factorization.

2132113 is an evil number, because the sum of its binary digits is even.

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

The square root of 2132113 is about 1460.1756743625. The cubic root of 2132113 is about 128.7073670389.

Adding to 2132113 its reverse (3112312), we get a palindrome (5244425).

The spelling of 2132113 in words is "two million, one hundred thirty-two thousand, one hundred thirteen".