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103117537 = 733134513
BaseRepresentation
bin1100010010101…
…11001011100001
321012000220200001
412021113023201
5202344230122
614122100001
72361325135
oct611271341
9235026601
10103117537
1153230806
122a64a601
13184957c3
14d9a33c5
1590bd527
hex62572e1

103117537 has 8 divisors (see below), whose sum is σ = 104887304. Its totient is φ = 101357568.

The previous prime is 103117513. The next prime is 103117543. The reversal of 103117537 is 735711301.

It can be written as a sum of positive squares in 4 ways, for example, as 9492561 + 93624976 = 3081^2 + 9676^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103117537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103117507) 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, 20593 + ... + 25105.

It is an arithmetic number, because the mean of its divisors is an integer number (13110913).

Almost surely, 2103117537 is an apocalyptic number.

It is an amenable number.

103117537 is a deficient number, since it is larger than the sum of its proper divisors (1769767).

103117537 is an equidigital number, since it uses as much as digits as its factorization.

103117537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 103117537 is about 10154.6805464278. The cubic root of 103117537 is about 468.9330513045.

Adding to 103117537 its reverse (735711301), we get a palindrome (838828838).

The spelling of 103117537 in words is "one hundred three million, one hundred seventeen thousand, five hundred thirty-seven".

Divisors: 1 73 313 4513 22849 329449 1412569 103117537