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1106054017 = 17286122741
BaseRepresentation
bin100000111101101…
…0000101110000001
32212002020100212121
41001323100232001
54231122212032
6301430324241
736260206165
oct10173205601
92762210777
101106054017
1151837a832
1226a4b9681
131481c0443
14a6c76ca5
156717ea97
hex41ed0b81

1106054017 has 8 divisors (see below), whose sum is σ = 1171576872. Its totient is φ = 1040582400.

The previous prime is 1106053981. The next prime is 1106054039. The reversal of 1106054017 is 7104506011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 111534721 + 994519296 = 10561^2 + 31536^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1106054017 - 219 = 1105529729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1106053982 and 1106054000.

It is not an unprimeable number, because it can be changed into a prime (1106054717) 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 7 ways as a sum of consecutive naturals, for example, 37267 + ... + 60007.

It is an arithmetic number, because the mean of its divisors is an integer number (146447109).

Almost surely, 21106054017 is an apocalyptic number.

1106054017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1106054017 is a deficient number, since it is larger than the sum of its proper divisors (65522855).

1106054017 is a wasteful number, since it uses less digits than its factorization.

1106054017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25619.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 1106054017 is about 33257.3904117566. The cubic root of 1106054017 is about 1034.1704219346.

The spelling of 1106054017 in words is "one billion, one hundred six million, fifty-four thousand, seventeen".

Divisors: 1 17 2861 22741 48637 386597 65062001 1106054017