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100016329 = 7471092789
BaseRepresentation
bin1011111011000…
…10000011001001
320222012100121111
411331202003021
5201101010304
613531410321
72323060540
oct575420311
9228170544
10100016329
1151502826
12295b39a1
131794b07a
14d3d7157
158ba9704
hex5f620c9

100016329 has 16 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 83104704.

The previous prime is 100016299. The next prime is 100016339. The reversal of 100016329 is 923610001.

It is a cyclic number.

It is not a de Polignac number, because 100016329 - 27 = 100016201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100016339) 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 15 ways as a sum of consecutive naturals, for example, 34467 + ... + 37255.

It is an arithmetic number, because the mean of its divisors is an integer number (7365600).

Almost surely, 2100016329 is an apocalyptic number.

It is an amenable number.

100016329 is a deficient number, since it is larger than the sum of its proper divisors (17833271).

100016329 is a wasteful number, since it uses less digits than its factorization.

100016329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 100016329 is about 10000.8164166732. The cubic root of 100016329 is about 464.1841461543.

The spelling of 100016329 in words is "one hundred million, sixteen thousand, three hundred twenty-nine".

Divisors: 1 7 47 109 329 763 2789 5123 19523 35861 131083 304001 917581 2128007 14288047 100016329