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12211112213 is a prime number
BaseRepresentation
bin10110101111101011…
…01100100100010101
31011112000100202212022
423113311230210111
5200002021042323
65335410302525
7611413512146
oct132765544425
934460322768
1012211112213
1151a6944383
122449587a45
1311c7b0c9b1
1483ba93acd
154b70724c8
hex2d7d6c915

12211112213 has 2 divisors, whose sum is σ = 12211112214. Its totient is φ = 12211112212.

The previous prime is 12211112203. The next prime is 12211112219. The reversal of 12211112213 is 31221111221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9810308209 + 2400804004 = 99047^2 + 48998^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211112213 - 24 = 12211112197 is a prime.

It is a super-2 number, since 2×122111122132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211112191 and 12211112200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211112219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105556106 + 6105556107.

It is an arithmetic number, because the mean of its divisors is an integer number (6105556107).

Almost surely, 212211112213 is an apocalyptic number.

It is an amenable number.

12211112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211112213 is an equidigital number, since it uses as much as digits as its factorization.

12211112213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 17.

Adding to 12211112213 its reverse (31221111221), we get a palindrome (43432223434).

It can be divided in two parts, 1221111221 and 3, that multiplied together give a palindrome (3663333663).

The spelling of 12211112213 in words is "twelve billion, two hundred eleven million, one hundred twelve thousand, two hundred thirteen".