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2041224412113 = 32565740092401
BaseRepresentation
bin11101101101000010011…
…101001011101111010001
321020010202102211222010100
4131231002131023233101
5231420411422141423
64201420415123013
7300321305140335
oct35550235135721
97203672758110
102041224412113
11717750a69867
1228b729b13469
1311a6431a7833
1470b1d9037c5
153816c223343
hex1db4274bbd1

2041224412113 has 12 divisors (see below), whose sum is σ = 2948956536708. Its totient is φ = 1360575686400.

The previous prime is 2041224412081. The next prime is 2041224412159. The reversal of 2041224412113 is 3112144221402.

2041224412113 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 2 + 2 + 441 + 211 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 691463760849 + 1349760651264 = 831543^2 + 1161792^2 .

It is not a de Polignac number, because 2041224412113 - 25 = 2041224412081 is a prime.

It is a super-2 number, since 2×20412244121132 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2041224412013) 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 in 11 ways as a sum of consecutive naturals, for example, 19995288 + ... + 20097113.

It is an arithmetic number, because the mean of its divisors is an integer number (245746378059).

Almost surely, 22041224412113 is an apocalyptic number.

It is an amenable number.

2041224412113 is a deficient number, since it is larger than the sum of its proper divisors (907732124595).

2041224412113 is a wasteful number, since it uses less digits than its factorization.

2041224412113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40098064 (or 40098061 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2041224412113 its reverse (3112144221402), we get a palindrome (5153368633515).

The spelling of 2041224412113 in words is "two trillion, forty-one billion, two hundred twenty-four million, four hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 5657 16971 50913 40092401 120277203 360831609 226802712457 680408137371 2041224412113