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12211010100589 is a prime number
BaseRepresentation
bin1011000110110001100011…
…1010110101110101101101
31121020100202021210211221011
42301230120322311311231
53100031122041204324
641545354404505221
72400134133201106
oct261543072656555
947210667724834
1012211010100589
113988729952593
1214526aa6ab211
136a7654a61981
1430303203d3ad
15162982c7bc94
hexb1b18eb5d6d

12211010100589 has 2 divisors, whose sum is σ = 12211010100590. Its totient is φ = 12211010100588.

The previous prime is 12211010100571. The next prime is 12211010100593. The reversal of 12211010100589 is 98500101011221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12166611396489 + 44398704100 = 3488067^2 + 210710^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211010100589 - 213 = 12211010092397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12211010100589.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211010100529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105505050294 + 6105505050295.

It is an arithmetic number, because the mean of its divisors is an integer number (6105505050295).

Almost surely, 212211010100589 is an apocalyptic number.

It is an amenable number.

12211010100589 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211010100589 is an equidigital number, since it uses as much as digits as its factorization.

12211010100589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 31.

The spelling of 12211010100589 in words is "twelve trillion, two hundred eleven billion, ten million, one hundred thousand, five hundred eighty-nine".