Search a number
-
+
103010312081 is a prime number
BaseRepresentation
bin101111111101111100…
…1001001111110010001
3100211212222002001002202
41133323321021332101
53141431114441311
6115153340252545
710304456130365
oct1377371117621
9324788061082
10103010312081
113a7606aa126
1217b69b41155
1399383948b1
144db2b8d2a5
152a2d668e3b
hex17fbe49f91

103010312081 has 2 divisors, whose sum is σ = 103010312082. Its totient is φ = 103010312080.

The previous prime is 103010312077. The next prime is 103010312113. The reversal of 103010312081 is 180213010301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93171457600 + 9838854481 = 305240^2 + 99191^2 .

It is a cyclic number.

It is not a de Polignac number, because 103010312081 - 22 = 103010312077 is a prime.

It is a super-2 number, since 2×1030103120812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103210312081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51505156040 + 51505156041.

It is an arithmetic number, because the mean of its divisors is an integer number (51505156041).

Almost surely, 2103010312081 is an apocalyptic number.

It is an amenable number.

103010312081 is a deficient number, since it is larger than the sum of its proper divisors (1).

103010312081 is an equidigital number, since it uses as much as digits as its factorization.

103010312081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 103010312081 its reverse (180213010301), we get a palindrome (283223322382).

The spelling of 103010312081 in words is "one hundred three billion, ten million, three hundred twelve thousand, eighty-one".