Search a number
-
+
111221031329137 is a prime number
BaseRepresentation
bin11001010010011110101010…
…000100000101110101110001
3112120210121220220102002221201
4121102132222010011311301
5104034221133010013022
61032314123022451201
732266311560543152
oct3122365204056561
9476717826362851
10111221031329137
1132490635728134
121058346a433b01
134a0a137b1cc02
141d671ab6d5929
15ccd1aa988127
hex6527aa105d71

111221031329137 has 2 divisors, whose sum is σ = 111221031329138. Its totient is φ = 111221031329136.

The previous prime is 111221031329129. The next prime is 111221031329167. The reversal of 111221031329137 is 731923130122111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104480615923776 + 6740415405361 = 10221576^2 + 2596231^2 .

It is a cyclic number.

It is not a de Polignac number, because 111221031329137 - 23 = 111221031329129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111221031329096 and 111221031329105.

It is not a weakly prime, because it can be changed into another prime (111221031329167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55610515664568 + 55610515664569.

It is an arithmetic number, because the mean of its divisors is an integer number (55610515664569).

Almost surely, 2111221031329137 is an apocalyptic number.

It is an amenable number.

111221031329137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111221031329137 is an equidigital number, since it uses as much as digits as its factorization.

111221031329137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 111221031329137 in words is "one hundred eleven trillion, two hundred twenty-one billion, thirty-one million, three hundred twenty-nine thousand, one hundred thirty-seven".