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223012129 is a prime number
BaseRepresentation
bin11010100101011…
…10010100100001
3120112122012010111
431102232110201
5424042342004
634043531321
75345400064
oct1522562441
9515565114
10223012129
1110498034a
1262829b41
1337283752
14218928db
15148a2a04
hexd4ae521

223012129 has 2 divisors, whose sum is σ = 223012130. Its totient is φ = 223012128.

The previous prime is 223012123. The next prime is 223012151. The reversal of 223012129 is 921210322.

It is an a-pointer prime, because the next prime (223012151) can be obtained adding 223012129 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201640000 + 21372129 = 14200^2 + 4623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223012129 is a prime.

It is a super-2 number, since 2×2230121292 = 99468819362225282, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (223012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111506064 + 111506065.

It is an arithmetic number, because the mean of its divisors is an integer number (111506065).

Almost surely, 2223012129 is an apocalyptic number.

It is an amenable number.

223012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

223012129 is an equidigital number, since it uses as much as digits as its factorization.

223012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 223012129 is about 14933.5906265037. The cubic root of 223012129 is about 606.4236935408.

The spelling of 223012129 in words is "two hundred twenty-three million, twelve thousand, one hundred twenty-nine".