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2441002412133 = 322609103956493
BaseRepresentation
bin100011100001010111000…
…101001110100001100101
322122100122122200120101200
4203201113011032201211
5304443133104142013
65105214145113113
7341233213105155
oct43412705164145
98570578616350
102441002412133
118612502522aa
123350ba928799
1314925482802c
14862063d8765
15437693b8e73
hex2385714e865

2441002412133 has 12 divisors (see below), whose sum is σ = 3527243841420. Its totient is φ = 1626711186816.

The previous prime is 2441002412119. The next prime is 2441002412171. The reversal of 2441002412133 is 3312142001442.

2441002412133 is a `hidden beast` number, since 2 + 4 + 410 + 0 + 241 + 2 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1517708194209 + 923294217924 = 1231953^2 + 960882^2 .

It is not a de Polignac number, because 2441002412133 - 24 = 2441002412117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2441002412097 and 2441002412106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441002412183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51954766 + ... + 52001727.

It is an arithmetic number, because the mean of its divisors is an integer number (293936986785).

Almost surely, 22441002412133 is an apocalyptic number.

It is an amenable number.

2441002412133 is a deficient number, since it is larger than the sum of its proper divisors (1086241429287).

2441002412133 is a wasteful number, since it uses less digits than its factorization.

2441002412133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103959108 (or 103959105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2441002412133 its reverse (3312142001442), we get a palindrome (5753144413575).

The spelling of 2441002412133 in words is "two trillion, four hundred forty-one billion, two million, four hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 2609 7827 23481 103956493 311869479 935608437 271222490237 813667470711 2441002412133