Search a number
-
+
2121122309 is a prime number
BaseRepresentation
bin111111001101101…
…1100001000000101
312110211021011210112
41332123130020011
513321001403214
6550251002405
7103364146025
oct17633341005
95424234715
102121122309
11999355649
124b2439405
1327a5a5077
141619c7a85
15c633aa3e
hex7e6dc205

2121122309 has 2 divisors, whose sum is σ = 2121122310. Its totient is φ = 2121122308.

The previous prime is 2121122299. The next prime is 2121122359. The reversal of 2121122309 is 9032211212.

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., 2107269025 + 13853284 = 45905^2 + 3722^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121122309 - 24 = 2121122293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121122359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060561154 + 1060561155.

It is an arithmetic number, because the mean of its divisors is an integer number (1060561155).

Almost surely, 22121122309 is an apocalyptic number.

It is an amenable number.

2121122309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121122309 is an equidigital number, since it uses as much as digits as its factorization.

2121122309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2121122309 is about 46055.6436172593. The cubic root of 2121122309 is about 1284.8583085503.

The spelling of 2121122309 in words is "two billion, one hundred twenty-one million, one hundred twenty-two thousand, three hundred nine".