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1100012117 is a prime number
BaseRepresentation
bin100000110010000…
…1101101001010101
32211122212101221112
41001210031221111
54223100341432
6301053024405
736154643261
oct10144155125
92748771845
101100012117
11514a23426
12268485105
13146b86359
14a61430a1
15668897b2
hex4190da55

1100012117 has 2 divisors, whose sum is σ = 1100012118. Its totient is φ = 1100012116.

The previous prime is 1100012113. The next prime is 1100012119. The reversal of 1100012117 is 7112100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1099983556 + 28561 = 33166^2 + 169^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100012117 - 22 = 1100012113 is a prime.

Together with 1100012119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100012113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550006058 + 550006059.

It is an arithmetic number, because the mean of its divisors is an integer number (550006059).

Almost surely, 21100012117 is an apocalyptic number.

It is an amenable number.

1100012117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100012117 is an equidigital number, since it uses as much as digits as its factorization.

1100012117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

The square root of 1100012117 is about 33166.4305736991. The cubic root of 1100012117 is about 1032.2839057873.

Adding to 1100012117 its reverse (7112100011), we get a palindrome (8212112128).

The spelling of 1100012117 in words is "one billion, one hundred million, twelve thousand, one hundred seventeen".