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1010131817 is a prime number
BaseRepresentation
bin111100001101010…
…110001101101001
32121101202000100112
4330031112031221
54032043204232
6244122344105
734013656502
oct7415261551
92541660315
101010131817
11479213a92
1224235b035
13131376a46
1498227ba9
155da334b2
hex3c356369

1010131817 has 2 divisors, whose sum is σ = 1010131818. Its totient is φ = 1010131816.

The previous prime is 1010131813. The next prime is 1010131819. The reversal of 1010131817 is 7181310101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1010031961 + 99856 = 31781^2 + 316^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010131817 - 22 = 1010131813 is a prime.

It is a super-4 number, since 4×10101318174 (a number of 37 digits) contains 4444 as substring.

Together with 1010131819, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010131792 and 1010131801.

It is not a weakly prime, because it can be changed into another prime (1010131813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505065908 + 505065909.

It is an arithmetic number, because the mean of its divisors is an integer number (505065909).

Almost surely, 21010131817 is an apocalyptic number.

It is an amenable number.

1010131817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010131817 is an equidigital number, since it uses as much as digits as its factorization.

1010131817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 23.

The square root of 1010131817 is about 31782.5709627148. The cubic root of 1010131817 is about 1003.3659301362.

Adding to 1010131817 its reverse (7181310101), we get a palindrome (8191441918).

The spelling of 1010131817 in words is "one billion, ten million, one hundred thirty-one thousand, eight hundred seventeen".