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12211201973 is a prime number
BaseRepresentation
bin10110101111101100…
…00010011110110101
31011112000112022222202
423113312002132311
5200002031430343
65335412234245
7611414334635
oct132766023665
934460468882
1012211201973
1151a69a5863
12244960b985
1311c7b417c9
1483bab86c5
154b708ddb8
hex2d7d827b5

12211201973 has 2 divisors, whose sum is σ = 12211201974. Its totient is φ = 12211201972.

The previous prime is 12211201939. The next prime is 12211201987. The reversal of 12211201973 is 37910211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12098460049 + 112741924 = 109993^2 + 10618^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211201973 - 214 = 12211185589 is a prime.

It is a super-3 number, since 3×122112019733 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211201993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105600986 + 6105600987.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600987).

Almost surely, 212211201973 is an apocalyptic number.

It is an amenable number.

12211201973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211201973 is an equidigital number, since it uses as much as digits as its factorization.

12211201973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 12211201973 in words is "twelve billion, two hundred eleven million, two hundred one thousand, nine hundred seventy-three".