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213220313232193 is a prime number
BaseRepresentation
bin110000011110110000111001…
…000001110111001101000001
31000221221122220020100101101101
4300132300321001313031001
5210421400200141412233
62033252020515134401
762624442062550421
oct6036607101671501
91027848806311341
10213220313232193
1161a362551a5243
121bab76375a4401
1391c87877c2987
143a91cbd86c481
15199b53a18ac7d
hexc1ec39077341

213220313232193 has 2 divisors, whose sum is σ = 213220313232194. Its totient is φ = 213220313232192.

The previous prime is 213220313232127. The next prime is 213220313232209. The reversal of 213220313232193 is 391232313022312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211689928986624 + 1530384245569 = 14549568^2 + 1237087^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213220313232193 is a prime.

It is a super-3 number, since 3×2132203132321933 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (213220313232103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106610156616096 + 106610156616097.

It is an arithmetic number, because the mean of its divisors is an integer number (106610156616097).

Almost surely, 2213220313232193 is an apocalyptic number.

It is an amenable number.

213220313232193 is a deficient number, since it is larger than the sum of its proper divisors (1).

213220313232193 is an equidigital number, since it uses as much as digits as its factorization.

213220313232193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 213220313232193 in words is "two hundred thirteen trillion, two hundred twenty billion, three hundred thirteen million, two hundred thirty-two thousand, one hundred ninety-three".