Search a number
-
+
1020157819 is a prime number
BaseRepresentation
bin111100110011100…
…101111101111011
32122002121101102221
4330303211331323
54042130022234
6245121304511
734165125022
oct7463457573
92562541387
101020157819
1148394173a
12245795137
131334773a5
14996b78b9
155e863eb4
hex3cce5f7b

1020157819 has 2 divisors, whose sum is σ = 1020157820. Its totient is φ = 1020157818.

The previous prime is 1020157793. The next prime is 1020157829. The reversal of 1020157819 is 9187510201.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (9187510201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020157819 is a prime.

It is a super-2 number, since 2×10201578192 = 2081443951333673522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1020157829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510078909 + 510078910.

It is an arithmetic number, because the mean of its divisors is an integer number (510078910).

Almost surely, 21020157819 is an apocalyptic number.

1020157819 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020157819 is an equidigital number, since it uses as much as digits as its factorization.

1020157819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 34.

The square root of 1020157819 is about 31939.9095020634. The cubic root of 1020157819 is about 1006.6746232845.

The spelling of 1020157819 in words is "one billion, twenty million, one hundred fifty-seven thousand, eight hundred nineteen".