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211404342257 is a prime number
BaseRepresentation
bin1100010011100010101…
…1100100001111110001
3202012200010120022000222
43010320223210033301
511430424002423012
6241041240422425
721162540155153
oct3047053441761
9665603508028
10211404342257
1181724270349
1234b7aa77a15
1316c20c486a4
14a336966ad3
155774783972
hex3138ae43f1

211404342257 has 2 divisors, whose sum is σ = 211404342258. Its totient is φ = 211404342256.

The previous prime is 211404342221. The next prime is 211404342269. The reversal of 211404342257 is 752243404112.

211404342257 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., 208747558321 + 2656783936 = 456889^2 + 51544^2 .

It is a cyclic number.

It is not a de Polignac number, because 211404342257 - 212 = 211404338161 is a prime.

It is a super-2 number, since 2×2114043422572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211404342217) 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, 105702171128 + 105702171129.

It is an arithmetic number, because the mean of its divisors is an integer number (105702171129).

Almost surely, 2211404342257 is an apocalyptic number.

It is an amenable number.

211404342257 is a deficient number, since it is larger than the sum of its proper divisors (1).

211404342257 is an equidigital number, since it uses as much as digits as its factorization.

211404342257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 211404342257 its reverse (752243404112), we get a palindrome (963647746369).

The spelling of 211404342257 in words is "two hundred eleven billion, four hundred four million, three hundred forty-two thousand, two hundred fifty-seven".