Search a number
-
+
241122323221142 = 21121019977795129
BaseRepresentation
bin110110110100110010101010…
…011011000100101010010110
31011121202001212021200222010212
4312310302222123010222112
5223101022004221034032
62212454022135245422
7101534340643350266
oct6664625233045226
91147661767628125
10241122323221142
116a913448459900
1223063156219872
13a470978421cac
1443785502437a6
151cd2229434bb2
hexdb4caa6c4a96

241122323221142 has 24 divisors (see below), whose sum is σ = 397943062007400. Its totient is φ = 109493498433440.

The previous prime is 241122323221139. The next prime is 241122323221147.

It is a happy number.

241122323221142 is nontrivially palindromic in base 10.

241122323221142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241122323221099 and 241122323221108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241122323221147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488650967 + ... + 489144162.

It is an arithmetic number, because the mean of its divisors is an integer number (16580960916975).

Almost surely, 2241122323221142 is an apocalyptic number.

241122323221142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241122323221142 is a deficient number, since it is larger than the sum of its proper divisors (156820738786258).

241122323221142 is a wasteful number, since it uses less digits than its factorization.

241122323221142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977796172 (or 977796161 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 241122323221142 in words is "two hundred forty-one trillion, one hundred twenty-two billion, three hundred twenty-three million, two hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 11 22 121 242 1019 2038 11209 22418 123299 246598 977795129 1955590258 10755746419 21511492838 118313210609 236626421218 996373236451 1992746472902 10960105600961 21920211201922 120561161610571 241122323221142