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4442100031129 is a prime number
BaseRepresentation
bin100000010100100000111…
…0010110101111010011001
3120201122211120220020120011
41000221001302311322121
51040234410101444004
613240401140001521
7635634244161505
oct100510162657231
916648746806504
104442100031129
11146297a731522
125b8aaa3902a1
13262b715b83a7
14114dda967305
157a83890c004
hex40a41cb5e99

4442100031129 has 2 divisors, whose sum is σ = 4442100031130. Its totient is φ = 4442100031128.

The previous prime is 4442100031123. The next prime is 4442100031169. The reversal of 4442100031129 is 9211300012444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4436402800729 + 5697230400 = 2106277^2 + 75480^2 .

It is a cyclic number.

It is not a de Polignac number, because 4442100031129 - 215 = 4442099998361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4442100031129.

It is not a weakly prime, because it can be changed into another prime (4442100031123) 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, 2221050015564 + 2221050015565.

It is an arithmetic number, because the mean of its divisors is an integer number (2221050015565).

Almost surely, 24442100031129 is an apocalyptic number.

It is an amenable number.

4442100031129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4442100031129 is an equidigital number, since it uses as much as digits as its factorization.

4442100031129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 4442100031129 in words is "four trillion, four hundred forty-two billion, one hundred million, thirty-one thousand, one hundred twenty-nine".