Search a number
-
+
2201311121 is a prime number
BaseRepresentation
bin1000001100110101…
…0101011110010001
312200102011012011112
42003031111132101
514002013423441
61002233423105
7105356556452
oct20315253621
95612135145
102201311121
11a2a645699
1251526aa95
132910a0379
1416c4dd129
15cd3ca4eb
hex83355791

2201311121 has 2 divisors, whose sum is σ = 2201311122. Its totient is φ = 2201311120.

The previous prime is 2201311109. The next prime is 2201311127. The reversal of 2201311121 is 1211131022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2119589521 + 81721600 = 46039^2 + 9040^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201311121 - 214 = 2201294737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2201311096 and 2201311105.

It is not a weakly prime, because it can be changed into another prime (2201311127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100655560 + 1100655561.

It is an arithmetic number, because the mean of its divisors is an integer number (1100655561).

Almost surely, 22201311121 is an apocalyptic number.

It is an amenable number.

2201311121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201311121 is an equidigital number, since it uses as much as digits as its factorization.

2201311121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2201311121 is about 46918.1321132886. The cubic root of 2201311121 is about 1300.8497641420.

Adding to 2201311121 its reverse (1211131022), we get a palindrome (3412442143).

The spelling of 2201311121 in words is "two billion, two hundred one million, three hundred eleven thousand, one hundred twenty-one".