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22001132222129 is a prime number
BaseRepresentation
bin1010000000010100010011…
…01010111011011010110001
32212220021202201210012101202
411000022021222323122301
510340431304322102004
6114443103002340545
74430346365165054
oct500121152733261
985807681705352
1022001132222129
11701269a631095
122573b727ba755
13c3790c29b318
14560c09236a9b
15282477461b1e
hex140289abb6b1

22001132222129 has 2 divisors, whose sum is σ = 22001132222130. Its totient is φ = 22001132222128.

The previous prime is 22001132222099. The next prime is 22001132222159. The reversal of 22001132222129 is 92122223110022.

It is a balanced prime because it is at equal distance from previous prime (22001132222099) and next prime (22001132222159).

It can be written as a sum of positive squares in only one way, i.e., 21349269757729 + 651862464400 = 4620527^2 + 807380^2 .

It is a cyclic number.

It is not a de Polignac number, because 22001132222129 - 228 = 22000863786673 is a prime.

It is not a weakly prime, because it can be changed into another prime (22001132222159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000566111064 + 11000566111065.

It is an arithmetic number, because the mean of its divisors is an integer number (11000566111065).

Almost surely, 222001132222129 is an apocalyptic number.

It is an amenable number.

22001132222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22001132222129 is an equidigital number, since it uses as much as digits as its factorization.

22001132222129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 22001132222129 in words is "twenty-two trillion, one billion, one hundred thirty-two million, two hundred twenty-two thousand, one hundred twenty-nine".