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12144217361 is a prime number
BaseRepresentation
bin10110100111101101…
…00000110100010001
31011100100111011101012
423103312200310101
5144332404423421
65325020420305
7606642100343
oct132366406421
934310434335
1012144217361
115172104281
12242b0a7695
1311b6cba643
14832c3d293
154b125b95b
hex2d3da0d11

12144217361 has 2 divisors, whose sum is σ = 12144217362. Its totient is φ = 12144217360.

The previous prime is 12144217321. The next prime is 12144217411. The reversal of 12144217361 is 16371244121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12113203600 + 31013761 = 110060^2 + 5569^2 .

It is a cyclic number.

It is not a de Polignac number, because 12144217361 - 26 = 12144217297 is a prime.

It is a super-3 number, since 3×121442173613 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12144217321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6072108680 + 6072108681.

It is an arithmetic number, because the mean of its divisors is an integer number (6072108681).

Almost surely, 212144217361 is an apocalyptic number.

It is an amenable number.

12144217361 is a deficient number, since it is larger than the sum of its proper divisors (1).

12144217361 is an equidigital number, since it uses as much as digits as its factorization.

12144217361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 32.

The spelling of 12144217361 in words is "twelve billion, one hundred forty-four million, two hundred seventeen thousand, three hundred sixty-one".