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311322222010229 is a prime number
BaseRepresentation
bin100011011001001010101101…
…0011101000001111101110101
31111211022010001221011101011112
41012302111122131001331311
5311301200402313311404
63022043242051444405
7122401200611602643
oct10662253235017565
91454263057141145
10311322222010229
1190219016197941
122ab003ba2b6705
131049373749c141
1456c410c562193
1525ed31355b56e
hex11b255a741f75

311322222010229 has 2 divisors, whose sum is σ = 311322222010230. Its totient is φ = 311322222010228.

The previous prime is 311322222010159. The next prime is 311322222010253. The reversal of 311322222010229 is 922010222223113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171636463020100 + 139685758990129 = 13101010^2 + 11818873^2 .

It is a cyclic number.

It is not a de Polignac number, because 311322222010229 - 216 = 311322221944693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311322222010195 and 311322222010204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311322222010529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155661111005114 + 155661111005115.

It is an arithmetic number, because the mean of its divisors is an integer number (155661111005115).

Almost surely, 2311322222010229 is an apocalyptic number.

It is an amenable number.

311322222010229 is a deficient number, since it is larger than the sum of its proper divisors (1).

311322222010229 is an equidigital number, since it uses as much as digits as its factorization.

311322222010229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 311322222010229 in words is "three hundred eleven trillion, three hundred twenty-two billion, two hundred twenty-two million, ten thousand, two hundred twenty-nine".