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213148877 is a prime number
BaseRepresentation
bin11001011010001…
…10010011001101
3112212002002021212
430231012103031
5414031231002
633052304205
75165510204
oct1455062315
9485062255
10213148877
11aa3539a7
125b472065
133520c1c6
142044623b
1513aa5352
hexcb464cd

213148877 has 2 divisors, whose sum is σ = 213148878. Its totient is φ = 213148876.

The previous prime is 213148853. The next prime is 213148879. The reversal of 213148877 is 778841312.

213148877 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., 204232681 + 8916196 = 14291^2 + 2986^2 .

It is a cyclic number.

It is not a de Polignac number, because 213148877 - 216 = 213083341 is a prime.

It is a super-2 number, since 2×2131488772 = 90864887532722258, which contains 22 as substring.

Together with 213148879, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213148879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106574438 + 106574439.

It is an arithmetic number, because the mean of its divisors is an integer number (106574439).

Almost surely, 2213148877 is an apocalyptic number.

It is an amenable number.

213148877 is a deficient number, since it is larger than the sum of its proper divisors (1).

213148877 is an equidigital number, since it uses as much as digits as its factorization.

213148877 is an evil number, because the sum of its binary digits is even.

The product of its digits is 75264, while the sum is 41.

The square root of 213148877 is about 14599.6190703730. The cubic root of 213148877 is about 597.3483699897.

The spelling of 213148877 in words is "two hundred thirteen million, one hundred forty-eight thousand, eight hundred seventy-seven".