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2242111312031 is a prime number
BaseRepresentation
bin100000101000001000001…
…111111001000010011111
321221100021120222211120212
4200220020033321002133
5243213320443441111
64434002310403035
7320662415462363
oct40501017710237
97840246884525
102242111312031
11794968424aa8
1230265266047b
13133579184756
147a7396d12a3
153d4c848798b
hex20a083f909f

2242111312031 has 2 divisors, whose sum is σ = 2242111312032. Its totient is φ = 2242111312030.

The previous prime is 2242111312009. The next prime is 2242111312163. The reversal of 2242111312031 is 1302131112422.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2242111312031 - 226 = 2242044203167 is a prime.

It is a super-3 number, since 3×22421113120313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2242111311988 and 2242111312006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2242111612031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121055656015 + 1121055656016.

It is an arithmetic number, because the mean of its divisors is an integer number (1121055656016).

Almost surely, 22242111312031 is an apocalyptic number.

2242111312031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242111312031 is an equidigital number, since it uses as much as digits as its factorization.

2242111312031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 2242111312031 its reverse (1302131112422), we get a palindrome (3544242424453).

The spelling of 2242111312031 in words is "two trillion, two hundred forty-two billion, one hundred eleven million, three hundred twelve thousand, thirty-one".