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22101121213 is a prime number
BaseRepresentation
bin10100100101010101…
…000101100010111101
32010001021011021200221
4110211111011202331
5330230341334323
614053023421341
71411454300503
oct244525054275
963037137627
1022101121213
119411563536
124349754851
132112a98c22
1410d9384673
1589545555d
hex5255458bd

22101121213 has 2 divisors, whose sum is σ = 22101121214. Its totient is φ = 22101121212.

The previous prime is 22101121193. The next prime is 22101121321. The reversal of 22101121213 is 31212110122.

Together with next prime (22101121321) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21188295844 + 912825369 = 145562^2 + 30213^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101121213 - 217 = 22100990141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101121013) 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, 11050560606 + 11050560607.

It is an arithmetic number, because the mean of its divisors is an integer number (11050560607).

Almost surely, 222101121213 is an apocalyptic number.

It is an amenable number.

22101121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101121213 is an equidigital number, since it uses as much as digits as its factorization.

22101121213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22101121213 its reverse (31212110122), we get a palindrome (53313231335).

The spelling of 22101121213 in words is "twenty-two billion, one hundred one million, one hundred twenty-one thousand, two hundred thirteen".