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12211202110229 is a prime number
BaseRepresentation
bin1011000110110010010001…
…0111010011001100010101
31121020101020200002221122022
42301230210113103030111
53100032020220011404
641545425424142525
72400141654226013
oct261544427231425
947211220087568
1012211202110229
113988818278241
121452742a67a45
136a768577c045
1430304d7418b3
15162994a588be
hexb1b245d3315

12211202110229 has 2 divisors, whose sum is σ = 12211202110230. Its totient is φ = 12211202110228.

The previous prime is 12211202110141. The next prime is 12211202110231. The reversal of 12211202110229 is 92201120211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9130731324100 + 3080470786129 = 3021710^2 + 1755127^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211202110229 - 212 = 12211202106133 is a prime.

It is a super-2 number, since 2×122112021102292 (a number of 27 digits) contains 22 as substring.

Together with 12211202110231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12211202110198 and 12211202110207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211202112229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105601055114 + 6105601055115.

It is an arithmetic number, because the mean of its divisors is an integer number (6105601055115).

Almost surely, 212211202110229 is an apocalyptic number.

It is an amenable number.

12211202110229 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211202110229 is an equidigital number, since it uses as much as digits as its factorization.

12211202110229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 12211202110229 in words is "twelve trillion, two hundred eleven billion, two hundred two million, one hundred ten thousand, two hundred twenty-nine".