Search a number
-
+
220042104122377 is a prime number
BaseRepresentation
bin110010000010000010001011…
…011100111010110000001001
31001212002211010120102121000001
4302002002023130322300021
5212320132212123404002
62055553540325043001
764230342316433665
oct6202021334726011
91055084116377001
10220042104122377
1164126372322739
1220819773556461
1395a1b5c5274a4
143c4a147a8d8a5
151a68c004daa87
hexc8208b73ac09

220042104122377 has 2 divisors, whose sum is σ = 220042104122378. Its totient is φ = 220042104122376.

The previous prime is 220042104122317. The next prime is 220042104122411. The reversal of 220042104122377 is 773221401240022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148725244527616 + 71316859594761 = 12195296^2 + 8444931^2 .

It is a cyclic number.

It is not a de Polignac number, because 220042104122377 - 223 = 220042095733769 is a prime.

It is a super-2 number, since 2×2200421041223772 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220042104122317) 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, 110021052061188 + 110021052061189.

It is an arithmetic number, because the mean of its divisors is an integer number (110021052061189).

Almost surely, 2220042104122377 is an apocalyptic number.

It is an amenable number.

220042104122377 is a deficient number, since it is larger than the sum of its proper divisors (1).

220042104122377 is an equidigital number, since it uses as much as digits as its factorization.

220042104122377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 37.

Adding to 220042104122377 its reverse (773221401240022), we get a palindrome (993263505362399).

The spelling of 220042104122377 in words is "two hundred twenty trillion, forty-two billion, one hundred four million, one hundred twenty-two thousand, three hundred seventy-seven".