Search a number
-
+
1022112541 is a prime number
BaseRepresentation
bin111100111011000…
…011001100011101
32122020021200211001
4330323003030131
54043130100131
6245231230301
734220545642
oct7473031435
92566250731
101022112541
11484a5730a
12246378391
131339b0028
1499a65dc9
155eaed261
hex3cec331d

1022112541 has 2 divisors, whose sum is σ = 1022112542. Its totient is φ = 1022112540.

The previous prime is 1022112529. The next prime is 1022112551. The reversal of 1022112541 is 1452112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 819619641 + 202492900 = 28629^2 + 14230^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022112541 - 211 = 1022110493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022112551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511056270 + 511056271.

It is an arithmetic number, because the mean of its divisors is an integer number (511056271).

Almost surely, 21022112541 is an apocalyptic number.

It is an amenable number.

1022112541 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022112541 is an equidigital number, since it uses as much as digits as its factorization.

1022112541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1022112541 is about 31970.4948507213. The cubic root of 1022112541 is about 1007.3171753551.

Adding to 1022112541 its reverse (1452112201), we get a palindrome (2474224742).

The spelling of 1022112541 in words is "one billion, twenty-two million, one hundred twelve thousand, five hundred forty-one".