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10042332317 is a prime number
BaseRepresentation
bin10010101101001000…
…11101010010011101
3221220212102100010222
421112210131102131
5131031314113232
64340254011125
7503600262533
oct112644352235
927825370128
1010042332317
1142936a89a6
121b431a6aa5
13c406bc794
146b3a22153
153db970d12
hex25691d49d

10042332317 has 2 divisors, whose sum is σ = 10042332318. Its totient is φ = 10042332316.

The previous prime is 10042332271. The next prime is 10042332329. The reversal of 10042332317 is 71323324001.

10042332317 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., 8727109561 + 1315222756 = 93419^2 + 36266^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042332317 - 220 = 10041283741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10042332397) 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, 5021166158 + 5021166159.

It is an arithmetic number, because the mean of its divisors is an integer number (5021166159).

Almost surely, 210042332317 is an apocalyptic number.

It is an amenable number.

10042332317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042332317 is an equidigital number, since it uses as much as digits as its factorization.

10042332317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 10042332317 its reverse (71323324001), we get a palindrome (81365656318).

The spelling of 10042332317 in words is "ten billion, forty-two million, three hundred thirty-two thousand, three hundred seventeen".