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1071311117 = 1763018301
BaseRepresentation
bin111111110110101…
…110100100001101
32202122212020120112
4333312232210031
54143223423432
6254145525405
735355665012
oct7766564415
92678766515
101071311117
114aa7aa998
1225a943865
13140c47706
14a23d1709
15640ba7b2
hex3fdae90d

1071311117 has 4 divisors (see below), whose sum is σ = 1134329436. Its totient is φ = 1008292800.

The previous prime is 1071311081. The next prime is 1071311149. The reversal of 1071311117 is 7111131701.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7111131701 = 12755993163.

It can be written as a sum of positive squares in 2 ways, for example, as 949009636 + 122301481 = 30806^2 + 11059^2 .

It is a cyclic number.

It is not a de Polignac number, because 1071311117 - 218 = 1071048973 is a prime.

It is a super-2 number, since 2×10713111172 = 2295415018815575378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1071311092 and 1071311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071311317) 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 in 3 ways as a sum of consecutive naturals, for example, 31509134 + ... + 31509167.

It is an arithmetic number, because the mean of its divisors is an integer number (283582359).

Almost surely, 21071311117 is an apocalyptic number.

1071311117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1071311117 is a deficient number, since it is larger than the sum of its proper divisors (63018319).

1071311117 is an equidigital number, since it uses as much as digits as its factorization.

1071311117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63018318.

The product of its (nonzero) digits is 147, while the sum is 23.

The square root of 1071311117 is about 32730.8893401936. The cubic root of 1071311117 is about 1023.2267152471.

Adding to 1071311117 its reverse (7111131701), we get a palindrome (8182442818).

The spelling of 1071311117 in words is "one billion, seventy-one million, three hundred eleven thousand, one hundred seventeen".

Divisors: 1 17 63018301 1071311117