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302311101113221 is a prime number
BaseRepresentation
bin100010010111100110100100…
…1110010110010001110000101
31110122101122210102102110001211
41010233031021302302032011
5304111031113341110341
62550543445205451421
7120451153623013204
oct10457151162621605
91418348712373054
10302311101113221
1188364466387242
1229aa5b00110b71
13cc8ba78635825
145491d148d923b
1524e3c138ae181
hex112f349cb2385

302311101113221 has 2 divisors, whose sum is σ = 302311101113222. Its totient is φ = 302311101113220.

The previous prime is 302311101113201. The next prime is 302311101113261. The reversal of 302311101113221 is 122311101113203.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288935879556996 + 13375221556225 = 16998114^2 + 3657215^2 .

It is a cyclic number.

It is not a de Polignac number, because 302311101113221 - 213 = 302311101105029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 302311101113192 and 302311101113201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (302311101113201) 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, 151155550556610 + 151155550556611.

It is an arithmetic number, because the mean of its divisors is an integer number (151155550556611).

Almost surely, 2302311101113221 is an apocalyptic number.

It is an amenable number.

302311101113221 is a deficient number, since it is larger than the sum of its proper divisors (1).

302311101113221 is an equidigital number, since it uses as much as digits as its factorization.

302311101113221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 302311101113221 its reverse (122311101113203), we get a palindrome (424622202226424).

The spelling of 302311101113221 in words is "three hundred two trillion, three hundred eleven billion, one hundred one million, one hundred thirteen thousand, two hundred twenty-one".