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212220100901 is a prime number
BaseRepresentation
bin1100010110100101001…
…1011100000100100101
3202021202222120010112002
43011221103130010211
511434111321212101
6241254221135045
721222004044224
oct3055123340445
9667688503462
10212220100901
1182002794946
12351680ba485
1317020c58303
14a3b3034cbb
1557c11bed6b
hex31694dc125

212220100901 has 2 divisors, whose sum is σ = 212220100902. Its totient is φ = 212220100900.

The previous prime is 212220100853. The next prime is 212220100921. The reversal of 212220100901 is 109001022212.

It is a happy number.

It is an a-pointer prime, because the next prime (212220100921) can be obtained adding 212220100901 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180089896900 + 32130204001 = 424370^2 + 179249^2 .

It is a cyclic number.

It is not a de Polignac number, because 212220100901 - 234 = 195040231717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212220100921) 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, 106110050450 + 106110050451.

It is an arithmetic number, because the mean of its divisors is an integer number (106110050451).

Almost surely, 2212220100901 is an apocalyptic number.

It is an amenable number.

212220100901 is a deficient number, since it is larger than the sum of its proper divisors (1).

212220100901 is an equidigital number, since it uses as much as digits as its factorization.

212220100901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 212220100901 in words is "two hundred twelve billion, two hundred twenty million, one hundred thousand, nine hundred one".