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2012613 = 317193167
BaseRepresentation
bin111101011010111000101
310210020210020
413223113011
51003400423
6111045353
723051451
oct7532705
93706706
102012613
111155119
12810859
135560c5
143a5661
1529b4e3
hex1eb5c5

2012613 has 32 divisors (see below), whose sum is σ = 3133440. Its totient is φ = 1140480.

The previous prime is 2012611. The next prime is 2012639. The reversal of 2012613 is 3162102.

It is not a de Polignac number, because 2012613 - 21 = 2012611 is a prime.

It is a super-2 number, since 2×20126132 = 8101222175538, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2012592 and 2012601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30006 + ... + 30072.

It is an arithmetic number, because the mean of its divisors is an integer number (97920).

22012613 is an apocalyptic number.

It is an amenable number.

2012613 is a deficient number, since it is larger than the sum of its proper divisors (1120827).

2012613 is a wasteful number, since it uses less digits than its factorization.

2012613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2012613 is about 1418.6659226189. The cubic root of 2012613 is about 126.2564065631.

Adding to 2012613 its reverse (3162102), we get a palindrome (5174715).

The spelling of 2012613 in words is "two million, twelve thousand, six hundred thirteen".

Divisors: 1 3 17 19 31 51 57 67 93 201 323 527 589 969 1139 1273 1581 1767 2077 3417 3819 6231 10013 21641 30039 35309 39463 64923 105927 118389 670871 2012613