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1211831106749 is a prime number
BaseRepresentation
bin10001101000100110110…
…000110011110010111101
311021211221121000121100022
4101220212300303302331
5124323312230403444
62324412454141525
7153360206310434
oct21504660636275
94254847017308
101211831106749
11427a3108176a
12176a3b9518a5
138a376766ba3
144291d94011b
15217c86e89ee
hex11a26c33cbd

1211831106749 has 2 divisors, whose sum is σ = 1211831106750. Its totient is φ = 1211831106748.

The previous prime is 1211831106719. The next prime is 1211831106751. The reversal of 1211831106749 is 9476011381121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 907989823225 + 303841283524 = 952885^2 + 551218^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1211831106749 is a prime.

Together with 1211831106751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1211831106719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 605915553374 + 605915553375.

It is an arithmetic number, because the mean of its divisors is an integer number (605915553375).

Almost surely, 21211831106749 is an apocalyptic number.

It is an amenable number.

1211831106749 is a deficient number, since it is larger than the sum of its proper divisors (1).

1211831106749 is an equidigital number, since it uses as much as digits as its factorization.

1211831106749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 1211831106749 in words is "one trillion, two hundred eleven billion, eight hundred thirty-one million, one hundred six thousand, seven hundred forty-nine".