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2002412414133 = 32317177105427
BaseRepresentation
bin11101001000111001000…
…101001010010010110101
321002102120120020012000200
4131020321011022102311
5230301420034223013
64131521235231113
7264445434454305
oct35107105122265
97072516205020
102002412414133
1170224467227a
122840b7a48499
13116a992a8661
146ccbb021605
1537149ba6e73
hex1d23914a4b5

2002412414133 has 12 divisors (see below), whose sum is σ = 2985675858048. Its totient is φ = 1291878976680.

The previous prime is 2002412414117. The next prime is 2002412414147. The reversal of 2002412414133 is 3314142142002.

2002412414133 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 4 + 1 + 241 + 413 + 3 = 666.

It is not a de Polignac number, because 2002412414133 - 24 = 2002412414117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002412414097 and 2002412414106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002412414533) 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, 3588552435 + ... + 3588552992.

It is an arithmetic number, because the mean of its divisors is an integer number (248806321504).

Almost surely, 22002412414133 is an apocalyptic number.

It is an amenable number.

2002412414133 is a deficient number, since it is larger than the sum of its proper divisors (983263443915).

2002412414133 is a wasteful number, since it uses less digits than its factorization.

2002412414133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177105464 (or 7177105461 counting only the distinct ones).

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

Adding to 2002412414133 its reverse (3314142142002), we get a palindrome (5316554556135).

The spelling of 2002412414133 in words is "two trillion, two billion, four hundred twelve million, four hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 3 9 31 93 279 7177105427 21531316281 64593948843 222490268237 667470804711 2002412414133