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220022002100029 is a prime number
BaseRepresentation
bin110010000001101111011101…
…010001110010011100111101
31001212000220020121221001101211
4302001233131101302130331
5212314320030014200104
62055540413513004421
764226031215162563
oct6201573521623475
91055026217831354
10220022002100029
1164118897250828
12208158a33b3711
13959cca797b6cc
143c4919c00ba33
151a6842581ae04
hexc81bdd47273d

220022002100029 has 2 divisors, whose sum is σ = 220022002100030. Its totient is φ = 220022002100028.

The previous prime is 220022002099997. The next prime is 220022002100051. The reversal of 220022002100029 is 920001200220022.

It is an a-pointer prime, because the next prime (220022002100051) can be obtained adding 220022002100029 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174094883028004 + 45927119072025 = 13194502^2 + 6776955^2 .

It is a cyclic number.

It is not a de Polignac number, because 220022002100029 - 25 = 220022002099997 is a prime.

It is a super-2 number, since 2×2200220021000292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220022002099982 and 220022002100009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220022002100099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110011001050014 + 110011001050015.

It is an arithmetic number, because the mean of its divisors is an integer number (110011001050015).

Almost surely, 2220022002100029 is an apocalyptic number.

It is an amenable number.

220022002100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

220022002100029 is an equidigital number, since it uses as much as digits as its factorization.

220022002100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 220022002100029 in words is "two hundred twenty trillion, twenty-two billion, two million, one hundred thousand, twenty-nine".