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214310313 = 3371766701
BaseRepresentation
bin11001100011000…
…01110110101001
3112221021002111000
430301201312221
5414330412223
633133225213
75211415260
oct1461416651
9487232430
10214310313
11aaa77568
125b932209
1335527a49
14206695d7
1513c34543
hexcc61da9

214310313 has 32 divisors (see below), whose sum is σ = 384203520. Its totient is φ = 115257600.

The previous prime is 214310311. The next prime is 214310351. The reversal of 214310313 is 313013412.

214310313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214310313 - 21 = 214310311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214310311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30138 + ... + 36563.

It is an arithmetic number, because the mean of its divisors is an integer number (12006360).

Almost surely, 2214310313 is an apocalyptic number.

It is an amenable number.

214310313 is a deficient number, since it is larger than the sum of its proper divisors (169893207).

214310313 is a wasteful number, since it uses less digits than its factorization.

214310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66734 (or 66728 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 214310313 is about 14639.3412761640. The cubic root of 214310313 is about 598.4313776135.

Adding to 214310313 its reverse (313013412), we get a palindrome (527323725).

The spelling of 214310313 in words is "two hundred fourteen million, three hundred ten thousand, three hundred thirteen".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 66701 200103 466907 600309 1133917 1400721 1800927 3401751 4202163 7937419 10205253 12606489 23812257 30615759 71436771 214310313