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214301313 = 3253449269
BaseRepresentation
bin11001100010111…
…11101010000001
3112221020122010200
430301133222001
5414330120223
633133115413
75211350112
oct1461375201
9487218120
10214301313
11aaa70826
125b928b69
1335523915
1420666209
1513c31a43
hexcc5fa81

214301313 has 12 divisors (see below), whose sum is σ = 315387540. Its totient is φ = 140171616.

The previous prime is 214301279. The next prime is 214301317. The reversal of 214301313 is 313103412.

214301313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 176145984 + 38155329 = 13272^2 + 6177^2 .

It is a de Polignac number, because none of the positive numbers 2k-214301313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214301317) 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, 224158 + ... + 225111.

It is an arithmetic number, because the mean of its divisors is an integer number (26282295).

Almost surely, 2214301313 is an apocalyptic number.

It is an amenable number.

214301313 is a deficient number, since it is larger than the sum of its proper divisors (101086227).

214301313 is a wasteful number, since it uses less digits than its factorization.

214301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449328 (or 449325 counting only the distinct ones).

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

The square root of 214301313 is about 14639.0338820566. The cubic root of 214301313 is about 598.4230004186.

Adding to 214301313 its reverse (313103412), we get a palindrome (527404725).

The spelling of 214301313 in words is "two hundred fourteen million, three hundred one thousand, three hundred thirteen".

Divisors: 1 3 9 53 159 477 449269 1347807 4043421 23811257 71433771 214301313