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13200231221 is a prime number
BaseRepresentation
bin11000100101100101…
…11000101100110101
31021001221120020001122
430102302320230311
5204013224344341
610021502433325
7645054054062
oct142262705465
937057506048
1013200231221
115664206101
122684892845
131324a0a308
148d31abc69
15523d0494b
hex312cb8b35

13200231221 has 2 divisors, whose sum is σ = 13200231222. Its totient is φ = 13200231220.

The previous prime is 13200231169. The next prime is 13200231263. The reversal of 13200231221 is 12213200231.

13200231221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10330486321 + 2869744900 = 101639^2 + 53570^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200231221 - 214 = 13200214837 is a prime.

It is a super-2 number, since 2×132002312212 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13200231221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13200231721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600115610 + 6600115611.

It is an arithmetic number, because the mean of its divisors is an integer number (6600115611).

Almost surely, 213200231221 is an apocalyptic number.

It is an amenable number.

13200231221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200231221 is an equidigital number, since it uses as much as digits as its factorization.

13200231221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13200231221 its reverse (12213200231), we get a palindrome (25413431452).

The spelling of 13200231221 in words is "thirteen billion, two hundred million, two hundred thirty-one thousand, two hundred twenty-one".