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10002212281 is a prime number
BaseRepresentation
bin10010101000010110…
…11010010110111001
3221211001221000210201
421110023122112321
5130441031243111
64332302042201
7502602254515
oct112413322671
927731830721
1010002212281
114272a96146
121b31879361
13c352b3409
146ac57b145
153d81986c1
hex2542da5b9

10002212281 has 2 divisors, whose sum is σ = 10002212282. Its totient is φ = 10002212280.

The previous prime is 10002212267. The next prime is 10002212309. The reversal of 10002212281 is 18221220001.

10002212281 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5603869881 + 4398342400 = 74859^2 + 66320^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002212281 - 223 = 9993823673 is a prime.

It is a super-2 number, since 2×100022122812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002212581) 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, 5001106140 + 5001106141.

It is an arithmetic number, because the mean of its divisors is an integer number (5001106141).

Almost surely, 210002212281 is an apocalyptic number.

It is an amenable number.

10002212281 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002212281 is an equidigital number, since it uses as much as digits as its factorization.

10002212281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10002212281 its reverse (18221220001), we get a palindrome (28223432282).

The spelling of 10002212281 in words is "ten billion, two million, two hundred twelve thousand, two hundred eighty-one".