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107006840161 = 132251632
BaseRepresentation
bin110001110101000011…
…0101100110101100001
3101020012111020200222021
41203222012230311201
53223122222341121
6121054103541441
710505505063634
oct1435206546541
9336174220867
10107006840161
11414216318a1
12188a445a881
13a12436bc00
14527187bc1b
152bb4455641
hex18ea1acd61

107006840161 has 9 divisors (see below), whose sum is σ = 115875917139. Its totient is φ = 98771619336.

The previous prime is 107006840147. The next prime is 107006840177. The reversal of 107006840161 is 161048600701.

The square root of 107006840161 is 327119.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15829414225 + 91177425936 = 125815^2 + 301956^2 .

It is a de Polignac number, because none of the positive numbers 2k-107006840161 is a prime.

It is a super-2 number, since 2×1070068401612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107006840111) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4239966 + ... + 4265128.

Almost surely, 2107006840161 is an apocalyptic number.

107006840161 is the 327119-th square number.

107006840161 is the 163560-th centered octagonal number.

It is an amenable number.

107006840161 is a deficient number, since it is larger than the sum of its proper divisors (8869076978).

107006840161 is an frugal number, since it uses more digits than its factorization.

107006840161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50352 (or 25176 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 107006840161 in words is "one hundred seven billion, six million, eight hundred forty thousand, one hundred sixty-one".

Divisors: 1 13 169 25163 327119 4252547 633176569 8231295397 107006840161