Search a number
-
+
1001120022257 is a prime number
BaseRepresentation
bin11101001000101110110…
…01110011111011110001
310112201001202221110011212
432210113121303323301
5112400243211203012
62043524100245505
7132220454533025
oct16442731637361
93481052843155
101001120022257
11356633176223
121420350a0895
1373536339ac4
14366510b8385
151b094c54b22
hexe917673ef1

1001120022257 has 2 divisors, whose sum is σ = 1001120022258. Its totient is φ = 1001120022256.

The previous prime is 1001120022191. The next prime is 1001120022299. The reversal of 1001120022257 is 7522200211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984889517056 + 16230505201 = 992416^2 + 127399^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001120022257 - 230 = 1000046280433 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001120022157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560011128 + 500560011129.

It is an arithmetic number, because the mean of its divisors is an integer number (500560011129).

Almost surely, 21001120022257 is an apocalyptic number.

It is an amenable number.

1001120022257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001120022257 is an equidigital number, since it uses as much as digits as its factorization.

1001120022257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 1001120022257 its reverse (7522200211001), we get a palindrome (8523320233258).

The spelling of 1001120022257 in words is "one trillion, one billion, one hundred twenty million, twenty-two thousand, two hundred fifty-seven".