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223102132231213 is a prime number
BaseRepresentation
bin110010101110100100000011…
…010101110001110000101101
31002020221100121012011202021101
4302232210003111301300231
5213220301131322344323
62110255412111203101
764664411550256534
oct6256440325616055
91066840535152241
10223102132231213
11650a60a0425014
1221032830816491
139764596576801
143d142b507531b
151abd5e9b85dad
hexcae903571c2d

223102132231213 has 2 divisors, whose sum is σ = 223102132231214. Its totient is φ = 223102132231212.

The previous prime is 223102132231183. The next prime is 223102132231249. The reversal of 223102132231213 is 312132231201322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170555320060489 + 52546812170724 = 13059683^2 + 7248918^2 .

It is a cyclic number.

It is not a de Polignac number, because 223102132231213 - 221 = 223102130134061 is a prime.

It is a super-3 number, since 3×2231021322312133 (a number of 44 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 (223102132238213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111551066115606 + 111551066115607.

It is an arithmetic number, because the mean of its divisors is an integer number (111551066115607).

Almost surely, 2223102132231213 is an apocalyptic number.

It is an amenable number.

223102132231213 is a deficient number, since it is larger than the sum of its proper divisors (1).

223102132231213 is an equidigital number, since it uses as much as digits as its factorization.

223102132231213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 223102132231213 its reverse (312132231201322), we get a palindrome (535234363432535).

The spelling of 223102132231213 in words is "two hundred twenty-three trillion, one hundred two billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred thirteen".