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10022000110141 is a prime number
BaseRepresentation
bin1001000111010110110111…
…0000011010101000111101
31022111002112102022122101111
42101311231300122220331
52303200024012011031
633152013203442021
72053031335242145
oct221655560325075
938432472278344
1010022000110141
113214340875428
12115a3b7686311
135790bc018686
142690d2cdb925
15125a665941b1
hex91d6dc1aa3d

10022000110141 has 2 divisors, whose sum is σ = 10022000110142. Its totient is φ = 10022000110140.

The previous prime is 10022000110099. The next prime is 10022000110217. The reversal of 10022000110141 is 14101100022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5185849344516 + 4836150765625 = 2277246^2 + 2199125^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022000110141 - 27 = 10022000110013 is a prime.

It is a super-2 number, since 2×100220001101412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022000110841) 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, 5011000055070 + 5011000055071.

It is an arithmetic number, because the mean of its divisors is an integer number (5011000055071).

Almost surely, 210022000110141 is an apocalyptic number.

It is an amenable number.

10022000110141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022000110141 is an equidigital number, since it uses as much as digits as its factorization.

10022000110141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022000110141 its reverse (14101100022001), we get a palindrome (24123100132142).

The spelling of 10022000110141 in words is "ten trillion, twenty-two billion, one hundred ten thousand, one hundred forty-one".