Search a number
-
+
2202121001 is a prime number
BaseRepresentation
bin1000001101000001…
…1011001100101001
312200110200100010002
42003100123030221
514002220333001
61002303032345
7105366501563
oct20320331451
95613610102
102202121001
11a30049113
1251559b6b5
132912c4ba2
1416c670333
15cd4da46b
hex8341b329

2202121001 has 2 divisors, whose sum is σ = 2202121002. Its totient is φ = 2202121000.

The previous prime is 2202120997. The next prime is 2202121067. The reversal of 2202121001 is 1001212022.

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., 1448563600 + 753557401 = 38060^2 + 27451^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202121001 - 22 = 2202120997 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202121501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101060500 + 1101060501.

It is an arithmetic number, because the mean of its divisors is an integer number (1101060501).

Almost surely, 22202121001 is an apocalyptic number.

It is an amenable number.

2202121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202121001 is an equidigital number, since it uses as much as digits as its factorization.

2202121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2202121001 is about 46926.7620979756. The cubic root of 2202121001 is about 1301.0092755990.

Adding to 2202121001 its reverse (1001212022), we get a palindrome (3203333023).

The spelling of 2202121001 in words is "two billion, two hundred two million, one hundred twenty-one thousand, one".