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1004113411011 = 33857106340823
BaseRepresentation
bin11101001110010011101…
…00101011101111000011
310112222210101112100121000
432213021310223233003
5112422411013123021
62045141111103043
7132354603111654
oct16471164535703
93488711470530
101004113411011
11357929930527
1214272b671a83
13738c2548059
143685687d52b
151b1bc93eb26
hexe9c9d2bbc3

1004113411011 has 32 divisors (see below), whose sum is σ = 1490748779520. Its totient is φ = 667982469312.

The previous prime is 1004113411001. The next prime is 1004113411079. The reversal of 1004113411011 is 1101143114001.

1004113411011 is a `hidden beast` number, since 100 + 411 + 34 + 110 + 11 = 666.

It is not a de Polignac number, because 1004113411011 - 26 = 1004113410947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004113411001) 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 31 ways as a sum of consecutive naturals, for example, 24576346 + ... + 24617168.

It is an arithmetic number, because the mean of its divisors is an integer number (46585899360).

Almost surely, 21004113411011 is an apocalyptic number.

1004113411011 is a deficient number, since it is larger than the sum of its proper divisors (486635368509).

1004113411011 is a wasteful number, since it uses less digits than its factorization.

1004113411011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42752 (or 42746 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1004113411011 its reverse (1101143114001), we get a palindrome (2105256525012).

The spelling of 1004113411011 in words is "one trillion, four billion, one hundred thirteen million, four hundred eleven thousand, eleven".

Divisors: 1 3 9 27 857 1063 2571 3189 7713 9567 23139 28701 40823 122469 367407 910991 1102221 2732973 8198919 24596757 34985311 43394849 104955933 130184547 314867799 390553641 944603397 1171660923 37189385593 111568156779 334704470337 1004113411011