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221023311253 is a prime number
BaseRepresentation
bin1100110111011000000…
…1000001010110010101
3210010111111100112212221
43031312001001112111
512110123431430003
6245311532342341
721653110101433
oct3156601012625
9703444315787
10221023311253
118580a9960a8
1236a043149b1
1317ac4a06614
14a9aa261d53
155b38e787bd
hex3376041595

221023311253 has 2 divisors, whose sum is σ = 221023311254. Its totient is φ = 221023311252.

The previous prime is 221023311227. The next prime is 221023311307. The reversal of 221023311253 is 352113320122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178711644049 + 42311667204 = 422743^2 + 205698^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221023311253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221023311653) 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, 110511655626 + 110511655627.

It is an arithmetic number, because the mean of its divisors is an integer number (110511655627).

Almost surely, 2221023311253 is an apocalyptic number.

It is an amenable number.

221023311253 is a deficient number, since it is larger than the sum of its proper divisors (1).

221023311253 is an equidigital number, since it uses as much as digits as its factorization.

221023311253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 221023311253 its reverse (352113320122), we get a palindrome (573136631375).

The spelling of 221023311253 in words is "two hundred twenty-one billion, twenty-three million, three hundred eleven thousand, two hundred fifty-three".