Search a number
-
+
2022122120201 is a prime number
BaseRepresentation
bin11101011011001111110…
…111101110010000001001
321011022110011111222212022
4131123033313232100021
5231112301230321301
64144541114454225
7266044033265231
oct35331767562011
97138404458768
102022122120201
1170a639247157
12287a98734375
131188ba7a3321
146dc2a93ccc1
15379001ced1b
hex1d6cfdee409

2022122120201 has 2 divisors, whose sum is σ = 2022122120202. Its totient is φ = 2022122120200.

The previous prime is 2022122120167. The next prime is 2022122120257. The reversal of 2022122120201 is 1020212212202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1819531210000 + 202590910201 = 1348900^2 + 450101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022122120201 - 210 = 2022122119177 is a prime.

It is a super-3 number, since 3×20221221202013 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2022122120201.

It is not a weakly prime, because it can be changed into another prime (2022122120261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011061060100 + 1011061060101.

It is an arithmetic number, because the mean of its divisors is an integer number (1011061060101).

Almost surely, 22022122120201 is an apocalyptic number.

It is an amenable number.

2022122120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022122120201 is an equidigital number, since it uses as much as digits as its factorization.

2022122120201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2022122120201 its reverse (1020212212202), we get a palindrome (3042334332403).

The spelling of 2022122120201 in words is "two trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred one".