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12211120093 is a prime number
BaseRepresentation
bin10110101111101011…
…01110011111011101
31011112000101011200011
423113311232133131
5200002021320333
65335410403221
7611413544134
oct132765563735
934460334604
1012211120093
1151a694a297
122449590511
1311c7b13463
1483ba9691b
154b70749cd
hex2d7d6e7dd

12211120093 has 2 divisors, whose sum is σ = 12211120094. Its totient is φ = 12211120092.

The previous prime is 12211120081. The next prime is 12211120151. The reversal of 12211120093 is 39002111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11346936484 + 864183609 = 106522^2 + 29397^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211120093 - 213 = 12211111901 is a prime.

It is a super-3 number, since 3×122111200933 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211220093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105560046 + 6105560047.

It is an arithmetic number, because the mean of its divisors is an integer number (6105560047).

Almost surely, 212211120093 is an apocalyptic number.

It is an amenable number.

12211120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211120093 is an equidigital number, since it uses as much as digits as its factorization.

12211120093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 12211120093 in words is "twelve billion, two hundred eleven million, one hundred twenty thousand, ninety-three".