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222312003029 is a prime number
BaseRepresentation
bin1100111100001011010…
…0111111010111010101
3210020211022020212122222
43033002310333113111
512120243333044104
6250043445432125
722030045563344
oct3170264772725
9706738225588
10222312003029
118631136a326
1237103a0b645
1317c6b9b242c
14aa8d47bb5b
155bb21831be
hex33c2d3f5d5

222312003029 has 2 divisors, whose sum is σ = 222312003030. Its totient is φ = 222312003028.

The previous prime is 222312002971. The next prime is 222312003103. The reversal of 222312003029 is 920300213222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195030874129 + 27281128900 = 441623^2 + 165170^2 .

It is a cyclic number.

It is not a de Polignac number, because 222312003029 - 228 = 222043567573 is a prime.

It is a super-2 number, since 2×2223120030292 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222312002989 and 222312003007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222312005029) 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, 111156001514 + 111156001515.

It is an arithmetic number, because the mean of its divisors is an integer number (111156001515).

Almost surely, 2222312003029 is an apocalyptic number.

It is an amenable number.

222312003029 is a deficient number, since it is larger than the sum of its proper divisors (1).

222312003029 is an equidigital number, since it uses as much as digits as its factorization.

222312003029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 222312003029 in words is "two hundred twenty-two billion, three hundred twelve million, three thousand, twenty-nine".