Search a number
-
+
221121202249 is a prime number
BaseRepresentation
bin1100110111101111011…
…0011100100001001001
3210010202022112221002101
43031323312130201021
512110324011432444
6245325350433401
721655406131063
oct3157366344111
9703668487071
10221121202249
1185860177052
1236a31062861
1317b0c08c19c
14a9b9264733
155b428633d4
hex337bd9c849

221121202249 has 2 divisors, whose sum is σ = 221121202250. Its totient is φ = 221121202248.

The previous prime is 221121202219. The next prime is 221121202277. The reversal of 221121202249 is 942202121122.

It is an a-pointer prime, because the next prime (221121202277) can be obtained adding 221121202249 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164872542025 + 56248660224 = 406045^2 + 237168^2 .

It is a cyclic number.

It is not a de Polignac number, because 221121202249 - 217 = 221121071177 is a prime.

It is not a weakly prime, because it can be changed into another prime (221121202219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560601124 + 110560601125.

It is an arithmetic number, because the mean of its divisors is an integer number (110560601125).

Almost surely, 2221121202249 is an apocalyptic number.

It is an amenable number.

221121202249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121202249 is an equidigital number, since it uses as much as digits as its factorization.

221121202249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 221121202249 in words is "two hundred twenty-one billion, one hundred twenty-one million, two hundred two thousand, two hundred forty-nine".