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12213310102241 is a prime number
BaseRepresentation
bin1011000110111010001000…
…0000101001101011100001
31121020120200120200001001112
42301232202000221223201
53100100324341232431
641550414525513105
72400245131660223
oct261564200515341
947216616601045
1012213310102241
1139896aa1748a6
121453030a12795
136a79304077b1
143031ad6ac413
15162a69b4dc2b
hexb1ba2029ae1

12213310102241 has 2 divisors, whose sum is σ = 12213310102242. Its totient is φ = 12213310102240.

The previous prime is 12213310102229. The next prime is 12213310102271. The reversal of 12213310102241 is 14220101331221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12213207667600 + 102434641 = 3494740^2 + 10121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12213310102241 is a prime.

It is not a weakly prime, because it can be changed into another prime (12213310102211) 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, 6106655051120 + 6106655051121.

It is an arithmetic number, because the mean of its divisors is an integer number (6106655051121).

Almost surely, 212213310102241 is an apocalyptic number.

It is an amenable number.

12213310102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12213310102241 is an equidigital number, since it uses as much as digits as its factorization.

12213310102241 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 23.

Adding to 12213310102241 its reverse (14220101331221), we get a palindrome (26433411433462).

The spelling of 12213310102241 in words is "twelve trillion, two hundred thirteen billion, three hundred ten million, one hundred two thousand, two hundred forty-one".