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1000003011133 = 72371049525809
BaseRepresentation
bin11101000110101001101…
…00110000001000111101
310112121011221002101222111
432203110310300020331
5112341001232324013
62043221155014021
7132151002226600
oct16432464601075
93477157071874
101000003011133
1135610a6a2235
12141982b9a311
13733b8ab1289
14365869cc337
151b02bb5d73d
hexe8d4d3023d

1000003011133 has 24 divisors (see below), whose sum is σ = 1195849683000. Its totient is φ = 833182737408.

The previous prime is 1000003011131. The next prime is 1000003011169. The reversal of 1000003011133 is 3311103000001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 681570778329 + 318432232804 = 825573^2 + 564298^2 .

It is not a de Polignac number, because 1000003011133 - 21 = 1000003011131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000003011131) 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 23 ways as a sum of consecutive naturals, for example, 1638933 + ... + 2164741.

It is an arithmetic number, because the mean of its divisors is an integer number (49827070125).

Almost surely, 21000003011133 is an apocalyptic number.

It is an amenable number.

1000003011133 is a deficient number, since it is larger than the sum of its proper divisors (195846671867).

1000003011133 is a wasteful number, since it uses less digits than its factorization.

1000003011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526909 (or 526902 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1000003011133 its reverse (3311103000001), we get a palindrome (4311106011134).

The spelling of 1000003011133 in words is "one trillion, three million, eleven thousand, one hundred thirty-three".

Divisors: 1 7 37 49 259 1049 1813 7343 38813 51401 271691 525809 1901837 3680663 19454933 25764641 136184531 551573641 953291717 3861015487 20408224717 27027108409 142857573019 1000003011133