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12271177349 is a prime number
BaseRepresentation
bin10110110110110101…
…10100111010000101
31011200012101101201222
423123122310322011
5200112410133344
65345353530125
7613043200154
oct133332647205
934605341658
1012271177349
11522783a192
122465713945
1312073b04b2
14845a4b59b
154bc4895ee
hex2db6b4e85

12271177349 has 2 divisors, whose sum is σ = 12271177350. Its totient is φ = 12271177348.

The previous prime is 12271177273. The next prime is 12271177409. The reversal of 12271177349 is 94377117221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9644614849 + 2626562500 = 98207^2 + 51250^2 .

It is an emirp because it is prime and its reverse (94377117221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12271177349 - 228 = 12002741893 is a prime.

It is a super-2 number, since 2×122711773492 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12271177249) 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 as a sum of consecutive naturals, namely, 6135588674 + 6135588675.

It is an arithmetic number, because the mean of its divisors is an integer number (6135588675).

Almost surely, 212271177349 is an apocalyptic number.

It is an amenable number.

12271177349 is a deficient number, since it is larger than the sum of its proper divisors (1).

12271177349 is an equidigital number, since it uses as much as digits as its factorization.

12271177349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 148176, while the sum is 44.

The spelling of 12271177349 in words is "twelve billion, two hundred seventy-one million, one hundred seventy-seven thousand, three hundred forty-nine".