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4400113103137 is a prime number
BaseRepresentation
bin100000000000111101100…
…1011011011000100100001
3120120122110110002022021001
41000001323023123010201
51034042412423300022
613205214542232001
7632616622161643
oct100017313330441
916518413068231
104400113103137
111447094155034
125b0930b85601
1325bc0c9b76bb
14112d76544893
15796cc795b27
hex4007b2db121

4400113103137 has 2 divisors, whose sum is σ = 4400113103138. Its totient is φ = 4400113103136.

The previous prime is 4400113103101. The next prime is 4400113103237. The reversal of 4400113103137 is 7313013110044.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3704697208081 + 695415895056 = 1924759^2 + 833916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4400113103137 is a prime.

It is not a weakly prime, because it can be changed into another prime (4400113103237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2200056551568 + 2200056551569.

It is an arithmetic number, because the mean of its divisors is an integer number (2200056551569).

Almost surely, 24400113103137 is an apocalyptic number.

It is an amenable number.

4400113103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4400113103137 is an equidigital number, since it uses as much as digits as its factorization.

4400113103137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 4400113103137 in words is "four trillion, four hundred billion, one hundred thirteen million, one hundred three thousand, one hundred thirty-seven".