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2002022000093 is a prime number
BaseRepresentation
bin11101001000100001110…
…011110110010111011101
321002101120100121002122102
4131020201303312113131
5230300120113000333
64131414411254445
7264432654136043
oct35104163662735
97071510532572
102002022000093
11702064254445
1228400914a425
13116a3644232b
146cc81234393
1537125788ae8
hex1d221cf65dd

2002022000093 has 2 divisors, whose sum is σ = 2002022000094. Its totient is φ = 2002022000092.

The previous prime is 2002022000029. The next prime is 2002022000131. The reversal of 2002022000093 is 3900002202002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1899495881284 + 102526118809 = 1378222^2 + 320197^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002022000093 - 26 = 2002022000029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002022009093) 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, 1001011000046 + 1001011000047.

It is an arithmetic number, because the mean of its divisors is an integer number (1001011000047).

Almost surely, 22002022000093 is an apocalyptic number.

It is an amenable number.

2002022000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002022000093 is an equidigital number, since it uses as much as digits as its factorization.

2002022000093 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 20.

Adding to 2002022000093 its reverse (3900002202002), we get a palindrome (5902024202095).

The spelling of 2002022000093 in words is "two trillion, two billion, twenty-two million, ninety-three", and thus it is an aban number and an uban number.