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213123301 is a prime number
BaseRepresentation
bin11001011010000…
…00000011100101
3112212000210012121
430231000003211
5414024421201
633051545541
75165342506
oct1455000345
9485023177
10213123301
11aa336766
125b45b2b1
1335200681
142043abad
1513a9c9a1
hexcb400e5

213123301 has 2 divisors, whose sum is σ = 213123302. Its totient is φ = 213123300.

The previous prime is 213123283. The next prime is 213123319. The reversal of 213123301 is 103321312.

It is a balanced prime because it is at equal distance from previous prime (213123283) and next prime (213123319).

It can be written as a sum of positive squares in only one way, i.e., 195272676 + 17850625 = 13974^2 + 4225^2 .

It is a cyclic number.

It is not a de Polignac number, because 213123301 - 213 = 213115109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213123331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561650 + 106561651.

It is an arithmetic number, because the mean of its divisors is an integer number (106561651).

Almost surely, 2213123301 is an apocalyptic number.

It is an amenable number.

213123301 is a deficient number, since it is larger than the sum of its proper divisors (1).

213123301 is an equidigital number, since it uses as much as digits as its factorization.

213123301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213123301 is about 14598.7431308315. The cubic root of 213123301 is about 597.3244768417.

Adding to 213123301 its reverse (103321312), we get a palindrome (316444613).

The spelling of 213123301 in words is "two hundred thirteen million, one hundred twenty-three thousand, three hundred one".