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116128019 = 7192413623
BaseRepresentation
bin1101110101111…
…11100100010011
322002111220200202
412322333210103
5214212044034
615305005415
72610033440
oct672774423
9262456622
10116128019
115a607777
1232a8386b
131b09c707
14115cc9c7
15a2dd47e
hex6ebf913

116128019 has 16 divisors (see below), whose sum is σ = 140321280. Its totient is φ = 93882240.

The previous prime is 116128009. The next prime is 116128043. The reversal of 116128019 is 910821611.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-116128019 is a prime.

It is a super-2 number, since 2×1161280192 = 26971433593728722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 116127982 and 116128000.

It is not an unprimeable number, because it can be changed into a prime (116128009) 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 15 ways as a sum of consecutive naturals, for example, 30242 + ... + 33864.

It is an arithmetic number, because the mean of its divisors is an integer number (8770080).

Almost surely, 2116128019 is an apocalyptic number.

116128019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

116128019 is a deficient number, since it is larger than the sum of its proper divisors (24193261).

116128019 is a wasteful number, since it uses less digits than its factorization.

116128019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890.

The product of its (nonzero) digits is 864, while the sum is 29.

The square root of 116128019 is about 10776.2711083194. The cubic root of 116128019 is about 487.8792406450.

The spelling of 116128019 in words is "one hundred sixteen million, one hundred twenty-eight thousand, nineteen".

Divisors: 1 7 19 133 241 1687 3623 4579 25361 32053 68837 481859 873143 6112001 16589717 116128019