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210106314 = 232111061143
BaseRepresentation
bin11001000010111…
…11011111001010
3112122100111200100
430201133133022
5412241400224
632503150230
75130605565
oct1441373712
9478314610
10210106314
11a8665a90
125a445376
13346b5382
141dc934dc
15136a3ac9
hexc85f7ca

210106314 has 24 divisors (see below), whose sum is σ = 496615392. Its totient is φ = 63668520.

The previous prime is 210106307. The next prime is 210106319. The reversal of 210106314 is 413601012.

It is a happy number.

210106314 is a `hidden beast` number, since 21 + 0 + 10 + 631 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210106319) 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, 530374 + ... + 530769.

It is an arithmetic number, because the mean of its divisors is an integer number (20692308).

Almost surely, 2210106314 is an apocalyptic number.

210106314 is an abundant number, since it is smaller than the sum of its proper divisors (286509078).

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

210106314 is a wasteful number, since it uses less digits than its factorization.

210106314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061162 (or 1061159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 210106314 is about 14495.0444635399. The cubic root of 210106314 is about 594.4924834525.

Adding to 210106314 its reverse (413601012), we get a palindrome (623707326).

The spelling of 210106314 in words is "two hundred ten million, one hundred six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1061143 2122286 3183429 6366858 9550287 11672573 19100574 23345146 35017719 70035438 105053157 210106314