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181000053 = 32131547009
BaseRepresentation
bin10101100100111…
…01011101110101
3110121120202101200
422302131131311
5332314000203
625543243113
74325321643
oct1262353565
9417522350
10181000053
1193196023
1250749499
132b664130
141a078193
1510d549a3
hexac9d775

181000053 has 12 divisors (see below), whose sum is σ = 281555820. Its totient is φ = 111384576.

The previous prime is 181000033. The next prime is 181000073. The reversal of 181000053 is 350000181.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (181000033) and next prime (181000073).

It can be written as a sum of positive squares in 2 ways, for example, as 111894084 + 69105969 = 10578^2 + 8313^2 .

It is not a de Polignac number, because 181000053 - 25 = 181000021 is a prime.

It is a super-2 number, since 2×1810000532 = 65522038372005618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 773388 + ... + 773621.

It is an arithmetic number, because the mean of its divisors is an integer number (23462985).

Almost surely, 2181000053 is an apocalyptic number.

181000053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

181000053 is a deficient number, since it is larger than the sum of its proper divisors (100555767).

181000053 is a wasteful number, since it uses less digits than its factorization.

181000053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547028 (or 1547025 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 181000053 is about 13453.6260168031. The cubic root of 181000053 is about 565.6653377946.

The spelling of 181000053 in words is "one hundred eighty-one million, fifty-three", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 1547009 4641027 13923081 20111117 60333351 181000053