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214048117 is a prime number
BaseRepresentation
bin11001100001000…
…01110101110101
3112220202202211001
430300201311311
5414244014432
633123443301
75206243663
oct1460416565
9486682731
10214048117
11aa908578
125b826531
13354655ba
14205dbc33
1513bd19e7
hexcc21d75

214048117 has 2 divisors, whose sum is σ = 214048118. Its totient is φ = 214048116.

The previous prime is 214048069. The next prime is 214048123. The reversal of 214048117 is 711840412.

214048117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163481796 + 50566321 = 12786^2 + 7111^2 .

It is a cyclic number.

It is not a de Polignac number, because 214048117 - 215 = 214015349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214048147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107024058 + 107024059.

It is an arithmetic number, because the mean of its divisors is an integer number (107024059).

Almost surely, 2214048117 is an apocalyptic number.

It is an amenable number.

214048117 is a deficient number, since it is larger than the sum of its proper divisors (1).

214048117 is an equidigital number, since it uses as much as digits as its factorization.

214048117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 214048117 is about 14630.3833510951. The cubic root of 214048117 is about 598.1872295472.

Adding to 214048117 its reverse (711840412), we get a palindrome (925888529).

The spelling of 214048117 in words is "two hundred fourteen million, forty-eight thousand, one hundred seventeen".