Search a number
-
+
10302240312127 is a prime number
BaseRepresentation
bin1001010111101010110101…
…0111111100101100111111
31100110212212211200221001201
42111322231113330230333
52322242442004442002
633524441151520331
72112212055534121
oct225725527745477
940425784627051
1010302240312127
113312179093a45
1211a47875290a7
135996601613ba
142788b9a03211
1512ceb9133087
hex95ead5fcb3f

10302240312127 has 2 divisors, whose sum is σ = 10302240312128. Its totient is φ = 10302240312126.

The previous prime is 10302240312101. The next prime is 10302240312167. The reversal of 10302240312127 is 72121304220301.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10302240312127 is a prime.

It is a super-2 number, since 2×103022403121272 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302240312095 and 10302240312104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10302240312167) 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, 5151120156063 + 5151120156064.

It is an arithmetic number, because the mean of its divisors is an integer number (5151120156064).

Almost surely, 210302240312127 is an apocalyptic number.

10302240312127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10302240312127 is an equidigital number, since it uses as much as digits as its factorization.

10302240312127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 10302240312127 its reverse (72121304220301), we get a palindrome (82423544532428).

The spelling of 10302240312127 in words is "ten trillion, three hundred two billion, two hundred forty million, three hundred twelve thousand, one hundred twenty-seven".