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10103224013 is a prime number
BaseRepresentation
bin10010110100011001…
…01111011011001101
3222002002222221211222
421122030233123031
5131142411132023
64350311053125
7505236662411
oct113214573315
928062887758
1010103224013
114315008813
121b5b6711a5
13c501bc57c
146bbb52d41
153e1e9ccc8
hex25a32f6cd

10103224013 has 2 divisors, whose sum is σ = 10103224014. Its totient is φ = 10103224012.

The previous prime is 10103224009. The next prime is 10103224031. The reversal of 10103224013 is 31042230101.

Together with next prime (10103224031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9972419044 + 130804969 = 99862^2 + 11437^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103224013 - 22 = 10103224009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10103223982 and 10103224000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103224093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051612006 + 5051612007.

It is an arithmetic number, because the mean of its divisors is an integer number (5051612007).

Almost surely, 210103224013 is an apocalyptic number.

It is an amenable number.

10103224013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103224013 is an equidigital number, since it uses as much as digits as its factorization.

10103224013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10103224013 its reverse (31042230101), we get a palindrome (41145454114).

The spelling of 10103224013 in words is "ten billion, one hundred three million, two hundred twenty-four thousand, thirteen".