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1162008133 = 11213738721
BaseRepresentation
bin100010101000010…
…1101011001000101
32222222112010111021
41011100231121011
54334433230013
6311145511141
740536622546
oct10520553105
92888463437
101162008133
11546a17a00
122851a24b1
131569819a0
14b04804cd
156c033a8d
hex4542d645

1162008133 has 12 divisors (see below), whose sum is σ = 1375500364. Its totient is φ = 975110400.

The previous prime is 1162008109. The next prime is 1162008143. The reversal of 1162008133 is 3318002611.

It can be written as a sum of positive squares in 2 ways, for example, as 316768804 + 845239329 = 17798^2 + 29073^2 .

It is not a de Polignac number, because 1162008133 - 217 = 1161877061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1162008098 and 1162008107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1162008103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367788 + ... + 370933.

Almost surely, 21162008133 is an apocalyptic number.

1162008133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1162008133 is a deficient number, since it is larger than the sum of its proper divisors (213492231).

1162008133 is a wasteful number, since it uses less digits than its factorization.

1162008133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738756 (or 738745 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1162008133 is about 34088.2403916659. The cubic root of 1162008133 is about 1051.3235412345.

The spelling of 1162008133 in words is "one billion, one hundred sixty-two million, eight thousand, one hundred thirty-three".

Divisors: 1 11 13 121 143 1573 738721 8125931 9603373 89385241 105637103 1162008133