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100106717 = 301133247
BaseRepresentation
bin1011111011110…
…00000111011101
320222100221121012
411331320013131
5201111403332
613533345005
72323615214
oct575700735
9228327535
10100106717
1151564727
1229638165
1317980259
14d41c07b
158bc63b2
hex5f781dd

100106717 has 4 divisors (see below), whose sum is σ = 100142976. Its totient is φ = 100070460.

The previous prime is 100106711. The next prime is 100106723. The reversal of 100106717 is 717601001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 717601001 = 1355200077.

It is an interprime number because it is at equal distance from previous prime (100106711) and next prime (100106723).

It is a cyclic number.

It is not a de Polignac number, because 100106717 - 218 = 99844573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100106692 and 100106701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13613 + ... + 19634.

It is an arithmetic number, because the mean of its divisors is an integer number (25035744).

Almost surely, 2100106717 is an apocalyptic number.

It is an amenable number.

100106717 is a deficient number, since it is larger than the sum of its proper divisors (36259).

100106717 is an equidigital number, since it uses as much as digits as its factorization.

100106717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36258.

The product of its (nonzero) digits is 294, while the sum is 23.

The square root of 100106717 is about 10005.3344271943. The cubic root of 100106717 is about 464.3239368070.

Adding to 100106717 its reverse (717601001), we get a palindrome (817707718).

The spelling of 100106717 in words is "one hundred million, one hundred six thousand, seven hundred seventeen".

Divisors: 1 3011 33247 100106717