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211144132301 is a prime number
BaseRepresentation
bin1100010010100100101…
…0111100011011001101
3202011222222221021002012
43010221022330123031
511424410344213201
6240555343311005
721153230340434
oct3045112743315
9664888837065
10211144132301
11816003a37a3
1234b078ab465
1316bac06c9bb
14a31019011b
15575b9d45bb
hex31292bc6cd

211144132301 has 2 divisors, whose sum is σ = 211144132302. Its totient is φ = 211144132300.

The previous prime is 211144132261. The next prime is 211144132307. The reversal of 211144132301 is 103231441112.

211144132301 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., 124178712100 + 86965420201 = 352390^2 + 294899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211144132301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211144132307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105572066150 + 105572066151.

It is an arithmetic number, because the mean of its divisors is an integer number (105572066151).

Almost surely, 2211144132301 is an apocalyptic number.

It is an amenable number.

211144132301 is a deficient number, since it is larger than the sum of its proper divisors (1).

211144132301 is an equidigital number, since it uses as much as digits as its factorization.

211144132301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 211144132301 its reverse (103231441112), we get a palindrome (314375573413).

The spelling of 211144132301 in words is "two hundred eleven billion, one hundred forty-four million, one hundred thirty-two thousand, three hundred one".