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2223131131093 is a prime number
BaseRepresentation
bin100000010110011100111…
…100001111110011010101
321212112021211102202002111
4200112130330033303111
5242410433032143333
64421143051311021
7316421155553035
oct40263474176325
97775254382074
102223131131093
11787908626154
122baa3614b471
13131842b65c62
1479858a358c5
153cc670154cd
hex2059cf0fcd5

2223131131093 has 2 divisors, whose sum is σ = 2223131131094. Its totient is φ = 2223131131092.

The previous prime is 2223131131087. The next prime is 2223131131139. The reversal of 2223131131093 is 3901311313222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1727074329124 + 496056801969 = 1314182^2 + 704313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2223131131093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223131161093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111565565546 + 1111565565547.

It is an arithmetic number, because the mean of its divisors is an integer number (1111565565547).

Almost surely, 22223131131093 is an apocalyptic number.

It is an amenable number.

2223131131093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223131131093 is an equidigital number, since it uses as much as digits as its factorization.

2223131131093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 2223131131093 in words is "two trillion, two hundred twenty-three billion, one hundred thirty-one million, one hundred thirty-one thousand, ninety-three".