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2002222321123 is a prime number
BaseRepresentation
bin11101001000101101110…
…000000000110111100011
321002102002022112110102211
4131020231300000313203
5230301022403233443
64131450325022551
7264440635631263
oct35105560006743
97072068473384
102002222321123
11702157336612
12284064254a57
13116a68aac79b
146cc9da9b7a3
153713815819d
hex1d22dc00de3

2002222321123 has 2 divisors, whose sum is σ = 2002222321124. Its totient is φ = 2002222321122.

The previous prime is 2002222321103. The next prime is 2002222321133. The reversal of 2002222321123 is 3211232222002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2002222321123 - 25 = 2002222321091 is a prime.

It is a super-3 number, since 3×20022223211233 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2002222321094 and 2002222321103.

It is not a weakly prime, because it can be changed into another prime (2002222321103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001111160561 + 1001111160562.

It is an arithmetic number, because the mean of its divisors is an integer number (1001111160562).

Almost surely, 22002222321123 is an apocalyptic number.

2002222321123 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002222321123 is an equidigital number, since it uses as much as digits as its factorization.

2002222321123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2002222321123 its reverse (3211232222002), we get a palindrome (5213454543125).

The spelling of 2002222321123 in words is "two trillion, two billion, two hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty-three".