Search a number
-
+
1001022022249 is a prime number
BaseRepresentation
bin11101001000100011000…
…11111110001001101001
310112200210221112112102221
432210101203332021221
5112400043114202444
62043510235554041
7132215154540514
oct16442143761151
93480727475387
101001022022249
11356592920387
121420082bb921
137351bc46732
1436642087d7b
151b08b347a84
hexe9118fe269

1001022022249 has 2 divisors, whose sum is σ = 1001022022250. Its totient is φ = 1001022022248.

The previous prime is 1001022022201. The next prime is 1001022022279. The reversal of 1001022022249 is 9422202201001.

1001022022249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 804833265625 + 196188756624 = 897125^2 + 442932^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001022022249 - 29 = 1001022021737 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001022022279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500511011124 + 500511011125.

It is an arithmetic number, because the mean of its divisors is an integer number (500511011125).

Almost surely, 21001022022249 is an apocalyptic number.

It is an amenable number.

1001022022249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001022022249 is an equidigital number, since it uses as much as digits as its factorization.

1001022022249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 1001022022249 in words is "one trillion, one billion, twenty-two million, twenty-two thousand, two hundred forty-nine".