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213460013 = 1321263077
BaseRepresentation
bin11001011100100…
…10010000101101
3112212122220002102
430232102100231
5414121210023
633103104445
75201244254
oct1456222055
9485586072
10213460013
11aa546738
125b5a2125
13352baa00
14204c779b
1513b17628
hexcb9242d

213460013 has 6 divisors (see below), whose sum is σ = 231143274. Its totient is φ = 197039856.

The previous prime is 213459989. The next prime is 213460019. The reversal of 213460013 is 310064312.

It can be written as a sum of positive squares in 3 ways, for example, as 5004169 + 208455844 = 2237^2 + 14438^2 .

It is not a de Polignac number, because 213460013 - 212 = 213455917 is a prime.

It is a super-3 number, since 3×2134600133 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213460019) 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 5 ways as a sum of consecutive naturals, for example, 631370 + ... + 631707.

It is an arithmetic number, because the mean of its divisors is an integer number (38523879).

Almost surely, 2213460013 is an apocalyptic number.

It is an amenable number.

213460013 is a deficient number, since it is larger than the sum of its proper divisors (17683261).

213460013 is a wasteful number, since it uses less digits than its factorization.

213460013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263103 (or 1263090 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 213460013 is about 14610.2708051562. The cubic root of 213460013 is about 597.6388809008.

The spelling of 213460013 in words is "two hundred thirteen million, four hundred sixty thousand, thirteen".

Divisors: 1 13 169 1263077 16420001 213460013