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106001060009 = 1352115650533
BaseRepresentation
bin110001010111000100…
…1111101000010101001
3101010121101200202222112
41202232021331002221
53214042232410014
6120410214332105
710441543100165
oct1425611750251
9333541622875
10106001060009
1140a55920329
121866365a035
139cc3b89b20
1451b8067ca5
152b55ed173e
hex18ae27d0a9

106001060009 has 8 divisors (see below), whose sum is σ = 114374102472. Its totient is φ = 97659319680.

The previous prime is 106001060003. The next prime is 106001060027. The reversal of 106001060009 is 900060100601.

It can be written as a sum of positive squares in 4 ways, for example, as 1115760409 + 104885299600 = 33403^2 + 323860^2 .

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

It is not a de Polignac number, because 106001060009 - 220 = 106000011433 is a prime.

It is a super-2 number, since 2×1060010600092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106001060003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7818494 + ... + 7832039.

It is an arithmetic number, because the mean of its divisors is an integer number (14296762809).

Almost surely, 2106001060009 is an apocalyptic number.

It is an amenable number.

106001060009 is a deficient number, since it is larger than the sum of its proper divisors (8373042463).

106001060009 is a wasteful number, since it uses less digits than its factorization.

106001060009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15651067.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 106001060009 in words is "one hundred six billion, one million, sixty thousand, nine".

Divisors: 1 13 521 6773 15650533 203456929 8153927693 106001060009