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212405013 = 32149158393
BaseRepresentation
bin11001010100100…
…00101100010101
3112210200021220100
430222100230111
5413333430023
633024324313
75156261412
oct1452205425
9483607810
10212405013
11a9996037
125b173699
133500b752
14202d1109
15139a9c43
hexca90b15

212405013 has 12 divisors (see below), whose sum is σ = 308868300. Its totient is φ = 140652096.

The previous prime is 212405003. The next prime is 212405027. The reversal of 212405013 is 310504212.

It can be written as a sum of positive squares in 2 ways, for example, as 128187684 + 84217329 = 11322^2 + 9177^2 .

It is not a de Polignac number, because 212405013 - 25 = 212404981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212405003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77856 + ... + 80537.

It is an arithmetic number, because the mean of its divisors is an integer number (25739025).

Almost surely, 2212405013 is an apocalyptic number.

It is an amenable number.

212405013 is a deficient number, since it is larger than the sum of its proper divisors (96463287).

212405013 is a wasteful number, since it uses less digits than its factorization.

212405013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158548 (or 158545 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212405013 is about 14574.1213457278. The cubic root of 212405013 is about 596.6526686825.

Adding to 212405013 its reverse (310504212), we get a palindrome (522909225).

The spelling of 212405013 in words is "two hundred twelve million, four hundred five thousand, thirteen".

Divisors: 1 3 9 149 447 1341 158393 475179 1425537 23600557 70801671 212405013