Search a number
-
+
10103002213 is a prime number
BaseRepresentation
bin10010110100010111…
…11001010001100101
3222002002120200121011
421122023321101211
5131142332032323
64350302222221
7505235046643
oct113213712145
928062520534
1010103002213
114314977107
121b5b584971
13c50142625
146bbad6193
153e1e5720d
hex25a2f9465

10103002213 has 2 divisors, whose sum is σ = 10103002214. Its totient is φ = 10103002212.

The previous prime is 10103002121. The next prime is 10103002219. The reversal of 10103002213 is 31220030101.

10103002213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8829797089 + 1273205124 = 93967^2 + 35682^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10103002213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10103002193 and 10103002202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103002219) 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, 5051501106 + 5051501107.

It is an arithmetic number, because the mean of its divisors is an integer number (5051501107).

Almost surely, 210103002213 is an apocalyptic number.

It is an amenable number.

10103002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103002213 is an equidigital number, since it uses as much as digits as its factorization.

10103002213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10103002213 its reverse (31220030101), we get a palindrome (41323032314).

The spelling of 10103002213 in words is "ten billion, one hundred three million, two thousand, two hundred thirteen".