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213890101 is a prime number
BaseRepresentation
bin11001011111110…
…11010000110101
3112220110202001121
430233323100311
5414223440401
633120223541
75205015205
oct1457732065
9486422047
10213890101
11aa80a887
125b76abb1
133540b6b9
142059a405
1513b9eca1
hexcbfb435

213890101 has 2 divisors, whose sum is σ = 213890102. Its totient is φ = 213890100.

The previous prime is 213889999. The next prime is 213890161. The reversal of 213890101 is 101098312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178249201 + 35640900 = 13351^2 + 5970^2 .

It is a cyclic number.

It is not a de Polignac number, because 213890101 - 215 = 213857333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213890161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106945050 + 106945051.

It is an arithmetic number, because the mean of its divisors is an integer number (106945051).

Almost surely, 2213890101 is an apocalyptic number.

It is an amenable number.

213890101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213890101 is an equidigital number, since it uses as much as digits as its factorization.

213890101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 213890101 is about 14624.9820854591. The cubic root of 213890101 is about 598.0399940813.

The spelling of 213890101 in words is "two hundred thirteen million, eight hundred ninety thousand, one hundred one".