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223123031029 is a prime number
BaseRepresentation
bin1100111111001100101…
…0110100001111110101
3210022220211100100221001
43033303022310033311
512123423443443104
6250300140523301
722056124320433
oct3176312641765
9708824310831
10223123031029
11866981526a8
12372ab550531
131806aa26a62
14ab29077d53
155c0d487aa4
hex33f32b43f5

223123031029 has 2 divisors, whose sum is σ = 223123031030. Its totient is φ = 223123031028.

The previous prime is 223123031023. The next prime is 223123031063. The reversal of 223123031029 is 920130321322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159832044100 + 63290986929 = 399790^2 + 251577^2 .

It is a cyclic number.

It is not a de Polignac number, because 223123031029 - 27 = 223123030901 is a prime.

It is a super-3 number, since 3×2231230310293 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223123030988 and 223123031006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223123031023) 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, 111561515514 + 111561515515.

It is an arithmetic number, because the mean of its divisors is an integer number (111561515515).

Almost surely, 2223123031029 is an apocalyptic number.

It is an amenable number.

223123031029 is a deficient number, since it is larger than the sum of its proper divisors (1).

223123031029 is an equidigital number, since it uses as much as digits as its factorization.

223123031029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 223123031029 in words is "two hundred twenty-three billion, one hundred twenty-three million, thirty-one thousand, twenty-nine".