Search a number
-
+
2202122021329 is a prime number
BaseRepresentation
bin100000000010111000101…
…100110110100111010001
321210112001200002101111001
4200002320230312213101
5242034421214140304
64403350233222001
7315045431224126
oct40027054664721
97715050071431
102202122021329
11779a0752101a
122b6952261901
1312c8753b1869
147882471074d
153c4378b8da4
hex200b8b369d1

2202122021329 has 2 divisors, whose sum is σ = 2202122021330. Its totient is φ = 2202122021328.

The previous prime is 2202122021327. The next prime is 2202122021339. The reversal of 2202122021329 is 9231202212022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2103726878929 + 98395142400 = 1450423^2 + 313680^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202122021329 - 21 = 2202122021327 is a prime.

Together with 2202122021327, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2202122021297 and 2202122021306.

It is not a weakly prime, because it can be changed into another prime (2202122021327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101061010664 + 1101061010665.

It is an arithmetic number, because the mean of its divisors is an integer number (1101061010665).

Almost surely, 22202122021329 is an apocalyptic number.

It is an amenable number.

2202122021329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202122021329 is an equidigital number, since it uses as much as digits as its factorization.

2202122021329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 2202122021329 in words is "two trillion, two hundred two billion, one hundred twenty-two million, twenty-one thousand, three hundred twenty-nine".