Search a number
-
+
1022122181 is a prime number
BaseRepresentation
bin111100111011000…
…101100011000101
32122020022012001002
4330323011203011
54043130402211
6245231343045
734220616023
oct7473054305
92566265032
101022122181
11484a63583
12246381a85
131339b4532
1499a69713
155eb0103b
hex3cec58c5

1022122181 has 2 divisors, whose sum is σ = 1022122182. Its totient is φ = 1022122180.

The previous prime is 1022122109. The next prime is 1022122187. The reversal of 1022122181 is 1812212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1021825156 + 297025 = 31966^2 + 545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022122181 is a prime.

It is a super-2 number, since 2×10221221812 = 2089467505784393522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022122187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511061090 + 511061091.

It is an arithmetic number, because the mean of its divisors is an integer number (511061091).

Almost surely, 21022122181 is an apocalyptic number.

It is an amenable number.

1022122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022122181 is an equidigital number, since it uses as much as digits as its factorization.

1022122181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1022122181 is about 31970.6456143757. The cubic root of 1022122181 is about 1007.3203421645.

Adding to 1022122181 its reverse (1812212201), we get a palindrome (2834334382).

The spelling of 1022122181 in words is "one billion, twenty-two million, one hundred twenty-two thousand, one hundred eighty-one".