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100530017 = 722418513
BaseRepresentation
bin1011111110111…
…11011101100001
321000011110020222
411333133131201
5201213430032
613550412425
72330330300
oct577373541
9230143228
10100530017
1151823765
1229801115
1317a9ab23
14d4cc437
158c5ba12
hex5fdf761

100530017 has 12 divisors (see below), whose sum is σ = 117442116. Its totient is φ = 85800960.

The previous prime is 100529983. The next prime is 100530049. The reversal of 100530017 is 710035001.

It can be written as a sum of positive squares in 2 ways, for example, as 89567296 + 10962721 = 9464^2 + 3311^2 .

It is not a de Polignac number, because 100530017 - 212 = 100525921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100529977 and 100530004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100530077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7553 + ... + 16065.

It is an arithmetic number, because the mean of its divisors is an integer number (9786843).

Almost surely, 2100530017 is an apocalyptic number.

It is an amenable number.

100530017 is a deficient number, since it is larger than the sum of its proper divisors (16912099).

100530017 is an equidigital number, since it uses as much as digits as its factorization.

100530017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 100530017 is about 10026.4658279974. The cubic root of 100530017 is about 464.9774791575.

Adding to 100530017 its reverse (710035001), we get a palindrome (810565018).

The spelling of 100530017 in words is "one hundred million, five hundred thirty thousand, seventeen".

Divisors: 1 7 49 241 1687 8513 11809 59591 417137 2051633 14361431 100530017