Search a number
-
+
10103123621 is a prime number
BaseRepresentation
bin10010110100011000…
…10110111010100101
3222002002210212010202
421122030112322211
5131142344423441
64350305000245
7505236063623
oct113214267245
928062725122
1010103123621
114314a4a348
121b5b623085
13c50185976
146bbb28513
153e1e7d19b
hex25a316ea5

10103123621 has 2 divisors, whose sum is σ = 10103123622. Its totient is φ = 10103123620.

The previous prime is 10103123599. The next prime is 10103123659. The reversal of 10103123621 is 12632130101.

10103123621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8437341025 + 1665782596 = 91855^2 + 40814^2 .

It is an emirp because it is prime and its reverse (12632130101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10103123621 - 218 = 10102861477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10103123593 and 10103123602.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103323621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051561810 + 5051561811.

It is an arithmetic number, because the mean of its divisors is an integer number (5051561811).

Almost surely, 210103123621 is an apocalyptic number.

It is an amenable number.

10103123621 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103123621 is an equidigital number, since it uses as much as digits as its factorization.

10103123621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10103123621 its reverse (12632130101), we get a palindrome (22735253722).

The spelling of 10103123621 in words is "ten billion, one hundred three million, one hundred twenty-three thousand, six hundred twenty-one".