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214201141 = 71125111083
BaseRepresentation
bin11001100010001…
…11001100110101
3112221001112201121
430301013030311
5414313414031
633131023541
75210452060
oct1461071465
9487045647
10214201141
11aaa02540
125b89abb1
13354ba14b
142063b8d7
1513c12011
hexcc47335

214201141 has 16 divisors (see below), whose sum is σ = 268144128. Its totient is φ = 166230000.

The previous prime is 214201133. The next prime is 214201147. The reversal of 214201141 is 141102412.

It is a happy number.

214201141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 214201141 - 23 = 214201133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214201147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13786 + ... + 24868.

It is an arithmetic number, because the mean of its divisors is an integer number (16759008).

Almost surely, 2214201141 is an apocalyptic number.

It is an amenable number.

214201141 is a deficient number, since it is larger than the sum of its proper divisors (53942987).

214201141 is a wasteful number, since it uses less digits than its factorization.

214201141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11352.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 214201141 is about 14635.6120814949. The cubic root of 214201141 is about 598.3297445404.

Adding to 214201141 its reverse (141102412), we get a palindrome (355303553).

The spelling of 214201141 in words is "two hundred fourteen million, two hundred one thousand, one hundred forty-one".

Divisors: 1 7 11 77 251 1757 2761 11083 19327 77581 121913 853391 2781833 19472831 30600163 214201141