Search a number
-
+
103012123217 is a prime number
BaseRepresentation
bin101111111110000000…
…0000100001001010001
3100211220002111001111212
41133330000010021101
53141432100420332
6115153443145505
710304510412563
oct1377400041121
9324802431455
10103012123217
113a761726933
1217b6a675295
13993887a083
144db3101333
152a2d8c58b2
hex17fc004251

103012123217 has 2 divisors, whose sum is σ = 103012123218. Its totient is φ = 103012123216.

The previous prime is 103012123183. The next prime is 103012123219. The reversal of 103012123217 is 712321210301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82125803776 + 20886319441 = 286576^2 + 144521^2 .

It is an emirp because it is prime and its reverse (712321210301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103012123217 - 222 = 103007928913 is a prime.

It is a super-2 number, since 2×1030121232172 (a number of 23 digits) contains 22 as substring.

Together with 103012123219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 103012123192 and 103012123201.

It is not a weakly prime, because it can be changed into another prime (103012123219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51506061608 + 51506061609.

It is an arithmetic number, because the mean of its divisors is an integer number (51506061609).

Almost surely, 2103012123217 is an apocalyptic number.

It is an amenable number.

103012123217 is a deficient number, since it is larger than the sum of its proper divisors (1).

103012123217 is an equidigital number, since it uses as much as digits as its factorization.

103012123217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 103012123217 its reverse (712321210301), we get a palindrome (815333333518).

The spelling of 103012123217 in words is "one hundred three billion, twelve million, one hundred twenty-three thousand, two hundred seventeen".