Search a number
-
+
22002121313 is a prime number
BaseRepresentation
bin10100011111011011…
…011011101001100001
32002210100212120100222
4110133123123221201
5330030020340223
614035125452425
71406142642164
oct243733335141
962710776328
1022002121313
119370695437
124320571115
1320c84156c3
1410ca173adb
1588b8ec0c8
hex51f6dba61

22002121313 has 2 divisors, whose sum is σ = 22002121314. Its totient is φ = 22002121312.

The previous prime is 22002121291. The next prime is 22002121369. The reversal of 22002121313 is 31312120022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21111218209 + 890903104 = 145297^2 + 29848^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002121313 - 26 = 22002121249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22002121291 and 22002121300.

It is not a weakly prime, because it can be changed into another prime (22002121013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001060656 + 11001060657.

It is an arithmetic number, because the mean of its divisors is an integer number (11001060657).

Almost surely, 222002121313 is an apocalyptic number.

It is an amenable number.

22002121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002121313 is an equidigital number, since it uses as much as digits as its factorization.

22002121313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22002121313 its reverse (31312120022), we get a palindrome (53314241335).

The spelling of 22002121313 in words is "twenty-two billion, two million, one hundred twenty-one thousand, three hundred thirteen".