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1314111121 is a prime number
BaseRepresentation
bin100111001010011…
…1011111010010001
310101120201202120021
41032110323322101
510142403023441
6334221543441
744364521521
oct11624737221
93346652507
101314111121
11614866154
12308114b81
1317c338b5b
14c6755681
157a57b3d1
hex4e53be91

1314111121 has 2 divisors, whose sum is σ = 1314111122. Its totient is φ = 1314111120.

The previous prime is 1314111119. The next prime is 1314111167. The reversal of 1314111121 is 1211114131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1312250625 + 1860496 = 36225^2 + 1364^2 .

It is a cyclic number.

It is not a de Polignac number, because 1314111121 - 21 = 1314111119 is a prime.

Together with 1314111119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1314111095 and 1314111104.

It is not a weakly prime, because it can be changed into another prime (1314111221) 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, 657055560 + 657055561.

It is an arithmetic number, because the mean of its divisors is an integer number (657055561).

Almost surely, 21314111121 is an apocalyptic number.

It is an amenable number.

1314111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1314111121 is an equidigital number, since it uses as much as digits as its factorization.

1314111121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 16.

The square root of 1314111121 is about 36250.6706282794. The cubic root of 1314111121 is about 1095.3275976781.

Adding to 1314111121 its reverse (1211114131), we get a palindrome (2525225252).

The spelling of 1314111121 in words is "one billion, three hundred fourteen million, one hundred eleven thousand, one hundred twenty-one".