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212013 = 3223557
BaseRepresentation
bin110011110000101101
3101202211100
4303300231
523241023
64313313
71542054
oct636055
9352740
10212013
1113531a
12a2839
1375669
145739b
1542c43
hex33c2d

212013 has 6 divisors (see below), whose sum is σ = 306254. Its totient is φ = 141336.

The previous prime is 211997. The next prime is 212029. The reversal of 212013 is 310212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211997) and next prime (212029).

It can be written as a sum of positive squares in only one way, i.e., 110889 + 101124 = 333^2 + 318^2 .

It is not a de Polignac number, because 212013 - 24 = 211997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23557 = 212013 / (2 + 1 + 2 + 0 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211986 and 212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11770 + ... + 11787.

2212013 is an apocalyptic number.

It is an amenable number.

212013 is a deficient number, since it is larger than the sum of its proper divisors (94241).

212013 is a wasteful number, since it uses less digits than its factorization.

212013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23563 (or 23560 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 212013 is about 460.4486942103. The cubic root of 212013 is about 59.6285383499.

Adding to 212013 its reverse (310212), we get a palindrome (522225).

The spelling of 212013 in words is "two hundred twelve thousand, thirteen".

Divisors: 1 3 9 23557 70671 212013