Search a number
-
+
112001012022209 is a prime number
BaseRepresentation
bin11001011101110101000100…
…100010010011101111000001
3112200120012012002200200120012
4121131311010202103233001
5104140011033034202314
61034112315443554305
732406543326206652
oct3135650442235701
9480505162620505
10112001012022209
11327613a9476272
121068a66838b995
134a6585b3c1b2b
141d92c40d8b529
15ce360b49893e
hex65dd44893bc1

112001012022209 has 2 divisors, whose sum is σ = 112001012022210. Its totient is φ = 112001012022208.

The previous prime is 112001012022169. The next prime is 112001012022233. The reversal of 112001012022209 is 902220210100211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110723427150400 + 1277584871809 = 10522520^2 + 1130303^2 .

It is a cyclic number.

It is not a de Polignac number, because 112001012022209 - 244 = 94408825977793 is a prime.

It is not a weakly prime, because it can be changed into another prime (112001012022409) 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, 56000506011104 + 56000506011105.

It is an arithmetic number, because the mean of its divisors is an integer number (56000506011105).

Almost surely, 2112001012022209 is an apocalyptic number.

It is an amenable number.

112001012022209 is a deficient number, since it is larger than the sum of its proper divisors (1).

112001012022209 is an equidigital number, since it uses as much as digits as its factorization.

112001012022209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 112001012022209 in words is "one hundred twelve trillion, one billion, twelve million, twenty-two thousand, two hundred nine".