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10103122031 is a prime number
BaseRepresentation
bin10010110100011000…
…10110100001101111
3222002002210202221212
421122030112201233
5131142344401111
64350304545035
7505236056162
oct113214264157
928062722855
1010103122031
114314a49132
121b5b62217b
13c50185022
146bbb27ad9
153e1e7c98b
hex25a31686f

10103122031 has 2 divisors, whose sum is σ = 10103122032. Its totient is φ = 10103122030.

The previous prime is 10103122019. The next prime is 10103122091. The reversal of 10103122031 is 13022130101.

10103122031 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 is a cyclic number.

It is not a de Polignac number, because 10103122031 - 214 = 10103105647 is a prime.

It is a super-2 number, since 2×101031220312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10103121997 and 10103122015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103122091) 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, 5051561015 + 5051561016.

It is an arithmetic number, because the mean of its divisors is an integer number (5051561016).

Almost surely, 210103122031 is an apocalyptic number.

10103122031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103122031 is an equidigital number, since it uses as much as digits as its factorization.

10103122031 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 14.

Adding to 10103122031 its reverse (13022130101), we get a palindrome (23125252132).

The spelling of 10103122031 in words is "ten billion, one hundred three million, one hundred twenty-two thousand, thirty-one".