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12223100101109 is a prime number
BaseRepresentation
bin1011000111011110100110…
…0010100010000111110101
31121021111221212021111210012
42301313221202202013311
53100230402111213414
641555114211310005
72401042546412042
oct261675142420765
947244855244705
1012223100101109
113992873395957
121454b035ab305
136a8830748731
1430385b9a81c9
15162e3e37933e
hexb1de98a21f5

12223100101109 has 2 divisors, whose sum is σ = 12223100101110. Its totient is φ = 12223100101108.

The previous prime is 12223100101073. The next prime is 12223100101169. The reversal of 12223100101109 is 90110100132221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9024646851025 + 3198453250084 = 3004105^2 + 1788422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12223100101109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223100101169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111550050554 + 6111550050555.

It is an arithmetic number, because the mean of its divisors is an integer number (6111550050555).

Almost surely, 212223100101109 is an apocalyptic number.

It is an amenable number.

12223100101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223100101109 is an equidigital number, since it uses as much as digits as its factorization.

12223100101109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 12223100101109 in words is "twelve trillion, two hundred twenty-three billion, one hundred million, one hundred one thousand, one hundred nine".