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22141210417 is a prime number
BaseRepresentation
bin10100100111101110…
…000000111100110001
32010011001121000202021
4110213232000330301
5330321122213132
614101014551441
71412452116604
oct244756007461
963131530667
1022141210417
119432155107
12435b068581
13211b194251
14110081c33b
15898c23997
hex527b80f31

22141210417 has 2 divisors, whose sum is σ = 22141210418. Its totient is φ = 22141210416.

The previous prime is 22141210387. The next prime is 22141210447. The reversal of 22141210417 is 71401214122.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (22141210387) and next prime (22141210447).

It can be written as a sum of positive squares in only one way, i.e., 20747233521 + 1393976896 = 144039^2 + 37336^2 .

It is a cyclic number.

It is not a de Polignac number, because 22141210417 - 215 = 22141177649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22141210391 and 22141210400.

It is not a weakly prime, because it can be changed into another prime (22141210447) 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, 11070605208 + 11070605209.

It is an arithmetic number, because the mean of its divisors is an integer number (11070605209).

Almost surely, 222141210417 is an apocalyptic number.

It is an amenable number.

22141210417 is a deficient number, since it is larger than the sum of its proper divisors (1).

22141210417 is an equidigital number, since it uses as much as digits as its factorization.

22141210417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 22141210417 its reverse (71401214122), we get a palindrome (93542424539).

The spelling of 22141210417 in words is "twenty-two billion, one hundred forty-one million, two hundred ten thousand, four hundred seventeen".