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1000011111133 is a prime number
BaseRepresentation
bin11101000110101010100…
…11101001101011011101
310112121012111022221002111
432203111103221223131
5112341010321024013
62043222044354021
7132151131124006
oct16432523515335
93477174287074
101000011111133
11356114224951
12141985845911
13733ba689088
1436587ada1ad
151b02c70d73d
hexe8d54e9add

1000011111133 has 2 divisors, whose sum is σ = 1000011111134. Its totient is φ = 1000011111132.

The previous prime is 1000011111107. The next prime is 1000011111167. The reversal of 1000011111133 is 3311111100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 956556373369 + 43454737764 = 978037^2 + 208458^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000011111133 - 25 = 1000011111101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000011115133) 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 as a sum of consecutive naturals, namely, 500005555566 + 500005555567.

It is an arithmetic number, because the mean of its divisors is an integer number (500005555567).

Almost surely, 21000011111133 is an apocalyptic number.

It is an amenable number.

1000011111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000011111133 is an equidigital number, since it uses as much as digits as its factorization.

1000011111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1000011111133 its reverse (3311111100001), we get a palindrome (4311122211134).

The spelling of 1000011111133 in words is "one trillion, eleven million, one hundred eleven thousand, one hundred thirty-three".