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214222302401 is a prime number
BaseRepresentation
bin1100011110000010100…
…1001110110011000001
3202110221112001111122012
43013200221032303001
512002211402134101
6242225023222305
721322425345332
oct3074051166301
9673845044565
10214222302401
118293a9a5528
1235626747995
131727c9c3723
14a522d04289
15588bd69bbb
hex31e0a4ecc1

214222302401 has 2 divisors, whose sum is σ = 214222302402. Its totient is φ = 214222302400.

The previous prime is 214222302391. The next prime is 214222302407. The reversal of 214222302401 is 104203222412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200772101776 + 13450200625 = 448076^2 + 115975^2 .

It is a cyclic number.

It is not a de Polignac number, because 214222302401 - 26 = 214222302337 is a prime.

It is not a weakly prime, because it can be changed into another prime (214222302407) 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, 107111151200 + 107111151201.

It is an arithmetic number, because the mean of its divisors is an integer number (107111151201).

Almost surely, 2214222302401 is an apocalyptic number.

It is an amenable number.

214222302401 is a deficient number, since it is larger than the sum of its proper divisors (1).

214222302401 is an equidigital number, since it uses as much as digits as its factorization.

214222302401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 214222302401 its reverse (104203222412), we get a palindrome (318425524813).

The spelling of 214222302401 in words is "two hundred fourteen billion, two hundred twenty-two million, three hundred two thousand, four hundred one".