Search a number
-
+
100012301017 is a prime number
BaseRepresentation
bin101110100100100110…
…0101001101011011001
3100120011000210022001221
41131021030221223121
53114311122113032
6113540042412041
710140253350346
oct1351114515331
9316130708057
10100012301017
1139462378032
1217471b01021
13957b228755
144baa9437cd
152905369597
hex1749329ad9

100012301017 has 2 divisors, whose sum is σ = 100012301018. Its totient is φ = 100012301016.

The previous prime is 100012300963. The next prime is 100012301057. The reversal of 100012301017 is 710103210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64646113536 + 35366187481 = 254256^2 + 188059^2 .

It is an emirp because it is prime and its reverse (710103210001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100012301017 - 219 = 100011776729 is a prime.

It is not a weakly prime, because it can be changed into another prime (100012301057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006150508 + 50006150509.

It is an arithmetic number, because the mean of its divisors is an integer number (50006150509).

Almost surely, 2100012301017 is an apocalyptic number.

It is an amenable number.

100012301017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012301017 is an equidigital number, since it uses as much as digits as its factorization.

100012301017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 100012301017 its reverse (710103210001), we get a palindrome (810115511018).

The spelling of 100012301017 in words is "one hundred billion, twelve million, three hundred one thousand, seventeen".