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223312142113 is a prime number
BaseRepresentation
bin1100111111111001110…
…0001101111100100001
3210100102000012012120021
43033332130031330201
512124320402021423
6250331014113441
722063611613624
oct3177634157441
9710360165507
10223312142113
1186784978655
123734294b881
131809ac6a9c8
14ab46223dbb
155c1ed9095d
hex33fe70df21

223312142113 has 2 divisors, whose sum is σ = 223312142114. Its totient is φ = 223312142112.

The previous prime is 223312142101. The next prime is 223312142117. The reversal of 223312142113 is 311241213322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137083581504 + 86228560609 = 370248^2 + 293647^2 .

It is a cyclic number.

It is not a de Polignac number, because 223312142113 - 213 = 223312133921 is a prime.

It is not a weakly prime, because it can be changed into another prime (223312142117) 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, 111656071056 + 111656071057.

It is an arithmetic number, because the mean of its divisors is an integer number (111656071057).

Almost surely, 2223312142113 is an apocalyptic number.

It is an amenable number.

223312142113 is a deficient number, since it is larger than the sum of its proper divisors (1).

223312142113 is an equidigital number, since it uses as much as digits as its factorization.

223312142113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 25.

Adding to 223312142113 its reverse (311241213322), we get a palindrome (534553355435).

The spelling of 223312142113 in words is "two hundred twenty-three billion, three hundred twelve million, one hundred forty-two thousand, one hundred thirteen".