Search a number
-
+
1001111222317 is a prime number
BaseRepresentation
bin11101001000101101110…
…00001111100000101101
310112201001011101100221011
432210112320033200231
5112400233433103232
62043523143505221
7132220316662153
oct16442670174055
93481034340834
101001111222317
11356629205748
12142032158211
137353457853b
143664dc673d3
151b0940b7547
hexe916e0f82d

1001111222317 has 2 divisors, whose sum is σ = 1001111222318. Its totient is φ = 1001111222316.

The previous prime is 1001111222291. The next prime is 1001111222359. The reversal of 1001111222317 is 7132221111001.

1001111222317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 885501702121 + 115609520196 = 941011^2 + 340014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001111222317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001111202317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555611158 + 500555611159.

It is an arithmetic number, because the mean of its divisors is an integer number (500555611159).

Almost surely, 21001111222317 is an apocalyptic number.

It is an amenable number.

1001111222317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111222317 is an equidigital number, since it uses as much as digits as its factorization.

1001111222317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 1001111222317 its reverse (7132221111001), we get a palindrome (8133332333318).

The spelling of 1001111222317 in words is "one trillion, one billion, one hundred eleven million, two hundred twenty-two thousand, three hundred seventeen".