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220022113312201 is a prime number
BaseRepresentation
bin110010000001101111100011…
…111010000001110111001001
31001212000220112101012012211011
4302001233203322001313021
5212314320242001442301
62055540432524403521
764226034035363404
oct6201574372016711
91055026471165734
10220022113312201
1164118944000112
12208159146a65a1
13959ccc4a19725
143c491acabad3b
151a68430487a51
hexc81be3e81dc9

220022113312201 has 2 divisors, whose sum is σ = 220022113312202. Its totient is φ = 220022113312200.

The previous prime is 220022113312189. The next prime is 220022113312277. The reversal of 220022113312201 is 102213311220022.

220022113312201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219622796744976 + 399316567225 = 14819676^2 + 631915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220022113312201 is a prime.

It is not a weakly prime, because it can be changed into another prime (220022113312291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110011056656100 + 110011056656101.

It is an arithmetic number, because the mean of its divisors is an integer number (110011056656101).

Almost surely, 2220022113312201 is an apocalyptic number.

It is an amenable number.

220022113312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

220022113312201 is an equidigital number, since it uses as much as digits as its factorization.

220022113312201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 220022113312201 its reverse (102213311220022), we get a palindrome (322235424532223).

The spelling of 220022113312201 in words is "two hundred twenty trillion, twenty-two billion, one hundred thirteen million, three hundred twelve thousand, two hundred one".