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2132013 = 31354667
BaseRepresentation
bin1000001000100000101101
311000022120110
420020200231
51021211023
6113410233
724056532
oct10104055
94008513
102132013
1112268a4
12869979
13598560
143d6d89
152c1a93
hex20882d

2132013 has 8 divisors (see below), whose sum is σ = 3061408. Its totient is φ = 1311984.

The previous prime is 2132003. The next prime is 2132023. The reversal of 2132013 is 3102312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2132003) and next prime (2132023).

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

It is not a de Polignac number, because 2132013 - 25 = 2131981 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27295 + ... + 27372.

It is an arithmetic number, because the mean of its divisors is an integer number (382676).

22132013 is an apocalyptic number.

It is an amenable number.

2132013 is a deficient number, since it is larger than the sum of its proper divisors (929395).

2132013 is a wasteful number, since it uses less digits than its factorization.

2132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54683.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2132013 is about 1460.1414315059. The cubic root of 2132013 is about 128.7053548038.

Adding to 2132013 its reverse (3102312), we get a palindrome (5234325).

Subtracting 2132013 from its reverse (3102312), we obtain a cube (970299 = 993).

The spelling of 2132013 in words is "two million, one hundred thirty-two thousand, thirteen".

Divisors: 1 3 13 39 54667 164001 710671 2132013