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100006697 = 729772089
BaseRepresentation
bin1011111010111…
…11101100101001
320222011212101202
411331133230221
5201100203242
613531253545
72323020500
oct575375451
9228155352
10100006697
11514a656a
12295aa2b5
131794687b
14d3d3837
158ba6932
hex5f5fb29

100006697 has 12 divisors (see below), whose sum is σ = 116509140. Its totient is φ = 85591296.

The previous prime is 100006693. The next prime is 100006721. The reversal of 100006697 is 796600001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91030681 + 8976016 = 9541^2 + 2996^2 .

It is not a de Polignac number, because 100006697 - 22 = 100006693 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100006693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46829 + ... + 48917.

It is an arithmetic number, because the mean of its divisors is an integer number (9709095).

Almost surely, 2100006697 is an apocalyptic number.

It is an amenable number.

100006697 is a deficient number, since it is larger than the sum of its proper divisors (16502443).

100006697 is an equidigital number, since it uses as much as digits as its factorization.

100006697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 100006697 is about 10000.3348443940. The cubic root of 100006697 is about 464.1692447035.

Adding to 100006697 its reverse (796600001), we get a palindrome (896606698).

The spelling of 100006697 in words is "one hundred million, six thousand, six hundred ninety-seven".

Divisors: 1 7 49 977 2089 6839 14623 47873 102361 2040953 14286671 100006697