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12141400009 is a prime number
BaseRepresentation
bin10110100111010111…
…10000111111001001
31011100011012000200211
423103223300333021
5144331144300014
65324440201121
7606606124444
oct132353607711
934304160624
1012141400009
11517055a592
12242a1691a1
1311b654217b
1483270865b
154b0da1cc4
hex2d3af0fc9

12141400009 has 2 divisors, whose sum is σ = 12141400010. Its totient is φ = 12141400008.

The previous prime is 12141400003. The next prime is 12141400031. The reversal of 12141400009 is 90000414121.

It is an a-pointer prime, because the next prime (12141400031) can be obtained adding 12141400009 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7815444025 + 4325955984 = 88405^2 + 65772^2 .

It is a cyclic number.

It is not a de Polignac number, because 12141400009 - 213 = 12141391817 is a prime.

It is a super-3 number, since 3×121414000093 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12141400003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6070700004 + 6070700005.

It is an arithmetic number, because the mean of its divisors is an integer number (6070700005).

Almost surely, 212141400009 is an apocalyptic number.

It is an amenable number.

12141400009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12141400009 is an equidigital number, since it uses as much as digits as its factorization.

12141400009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12141400009 in words is "twelve billion, one hundred forty-one million, four hundred thousand, nine".