Search a number
-
+
2221212102169 is a prime number
BaseRepresentation
bin100000010100101010100…
…011101110111000011001
321212100100002102222022011
4200110222203232320121
5242343020244232134
64420224420025521
7316322464230364
oct40245243567031
97770302388264
102221212102169
11787013363335
122ba59b5322a1
131315c83cbc98
1479715c170db
153cba37e9264
hex2052a8eee19

2221212102169 has 2 divisors, whose sum is σ = 2221212102170. Its totient is φ = 2221212102168.

The previous prime is 2221212102097. The next prime is 2221212102217. The reversal of 2221212102169 is 9612012121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1282227846025 + 938984256144 = 1132355^2 + 969012^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221212102169 is a prime.

It is a super-2 number, since 2×22212121021692 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2221212102169.

It is not a weakly prime, because it can be changed into another prime (2221212105169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110606051084 + 1110606051085.

It is an arithmetic number, because the mean of its divisors is an integer number (1110606051085).

Almost surely, 22221212102169 is an apocalyptic number.

It is an amenable number.

2221212102169 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221212102169 is an equidigital number, since it uses as much as digits as its factorization.

2221212102169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 2221212102169 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, one hundred two thousand, one hundred sixty-nine".