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210013002 = 23217686317
BaseRepresentation
bin11001000010010…
…00101101001010
3112122011202200100
430201020231022
5412230404002
632501150230
75130036543
oct1441105512
9478152610
10210013002
11a8601971
125a3bb376
1334681a64
141dc6b4ca
151368611c
hexc848b4a

210013002 has 24 divisors (see below), whose sum is σ = 481795236. Its totient is φ = 65886336.

The previous prime is 210012997. The next prime is 210013007. The reversal of 210013002 is 200310012.

It is a happy number.

210013002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210012997) and next prime (210013007).

It can be written as a sum of positive squares in 2 ways, for example, as 207965241 + 2047761 = 14421^2 + 1431^2 .

It is a super-2 number, since 2×2100130022 = 88210922018104008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (210013007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342853 + ... + 343464.

Almost surely, 2210013002 is an apocalyptic number.

210013002 is an abundant number, since it is smaller than the sum of its proper divisors (271782234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210013002 is a wasteful number, since it uses less digits than its factorization.

210013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686342 (or 686339 counting only the distinct ones).

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

The square root of 210013002 is about 14491.8253508659. The cubic root of 210013002 is about 594.4044621459.

Adding to 210013002 its reverse (200310012), we get a palindrome (410323014).

The spelling of 210013002 in words is "two hundred ten million, thirteen thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 686317 1372634 2058951 4117902 6176853 11667389 12353706 23334778 35002167 70004334 105006501 210013002