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212220003101 is a prime number
BaseRepresentation
bin1100010110100101001…
…1000100001100011101
3202021202222101011100212
43011221103010030131
511434111310044401
6241254215102205
721222003156131
oct3055123041435
9667688334325
10212220003101
1182002728417
1235168071965
1317020c22942
14a3b300b3c1
1557c11a0dbb
hex31694c431d

212220003101 has 2 divisors, whose sum is σ = 212220003102. Its totient is φ = 212220003100.

The previous prime is 212220003007. The next prime is 212220003133. The reversal of 212220003101 is 101300022212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172598702500 + 39621300601 = 415450^2 + 199051^2 .

It is a cyclic number.

It is not a de Polignac number, because 212220003101 - 210 = 212220002077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212220003181) 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, 106110001550 + 106110001551.

It is an arithmetic number, because the mean of its divisors is an integer number (106110001551).

Almost surely, 2212220003101 is an apocalyptic number.

It is an amenable number.

212220003101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212220003101 is an equidigital number, since it uses as much as digits as its factorization.

212220003101 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 14.

Adding to 212220003101 its reverse (101300022212), we get a palindrome (313520025313).

The spelling of 212220003101 in words is "two hundred twelve billion, two hundred twenty million, three thousand, one hundred one".