Search a number
-
+
103010301322141 is a prime number
BaseRepresentation
bin10111011010111111110100…
…011010110010001110011101
3111111201200121000100012010111
4113122333310122302032131
5102000210044114302031
61003030140143210021
730461151203165443
oct2732776432621635
9444650530305114
10103010301322141
112a905472694724
12b6781055a6911
134562aa2c04b25
141b61a21ca6b93
15bd98035921b1
hex5daff46b239d

103010301322141 has 2 divisors, whose sum is σ = 103010301322142. Its totient is φ = 103010301322140.

The previous prime is 103010301322091. The next prime is 103010301322157. The reversal of 103010301322141 is 141223103010301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102684883556025 + 325417766116 = 10133355^2 + 570454^2 .

It is a cyclic number.

It is not a de Polignac number, because 103010301322141 - 215 = 103010301289373 is a prime.

It is a super-2 number, since 2×1030103013221412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103010301323141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51505150661070 + 51505150661071.

It is an arithmetic number, because the mean of its divisors is an integer number (51505150661071).

Almost surely, 2103010301322141 is an apocalyptic number.

It is an amenable number.

103010301322141 is a deficient number, since it is larger than the sum of its proper divisors (1).

103010301322141 is an equidigital number, since it uses as much as digits as its factorization.

103010301322141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 103010301322141 its reverse (141223103010301), we get a palindrome (244233404332442).

The spelling of 103010301322141 in words is "one hundred three trillion, ten billion, three hundred one million, three hundred twenty-two thousand, one hundred forty-one".