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223123310141 is a prime number
BaseRepresentation
bin1100111111001100101…
…1111000011000111101
3210022220211212112210112
43033303023320120331
512123424031411031
6250300150515405
722056126562244
oct3176313703075
9708824775715
10223123310141
1186698323376
12372ab665b65
131806aac3b04
14ab2910b95b
155c0d4e062b
hex33f32f863d

223123310141 has 2 divisors, whose sum is σ = 223123310142. Its totient is φ = 223123310140.

The previous prime is 223123310107. The next prime is 223123310161. The reversal of 223123310141 is 141013321322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197700283225 + 25423026916 = 444635^2 + 159446^2 .

It is a cyclic number.

It is not a de Polignac number, because 223123310141 - 222 = 223119115837 is a prime.

It is a super-3 number, since 3×2231233101413 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223123310161) 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, 111561655070 + 111561655071.

It is an arithmetic number, because the mean of its divisors is an integer number (111561655071).

Almost surely, 2223123310141 is an apocalyptic number.

It is an amenable number.

223123310141 is a deficient number, since it is larger than the sum of its proper divisors (1).

223123310141 is an equidigital number, since it uses as much as digits as its factorization.

223123310141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 223123310141 its reverse (141013321322), we get a palindrome (364136631463).

The spelling of 223123310141 in words is "two hundred twenty-three billion, one hundred twenty-three million, three hundred ten thousand, one hundred forty-one".