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100160016 = 24311189697
BaseRepresentation
bin1011111100001…
…01001000010000
320222110122201020
411332011020100
5201120110031
613534435440
72324226465
oct576051020
9228418636
10100160016
11515a0780
1229662b80
131799b5a8
14d43366c
158bd7096
hex5f85210

100160016 has 40 divisors (see below), whose sum is σ = 282270624. Its totient is φ = 30351360.

The previous prime is 100160003. The next prime is 100160017. The reversal of 100160016 is 610061001.

It is a junction number, because it is equal to n+sod(n) for n = 100159977 and 100160004.

It is not an unprimeable number, because it can be changed into a prime (100160017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94321 + ... + 95376.

Almost surely, 2100160016 is an apocalyptic number.

100160016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100160016 is an abundant number, since it is smaller than the sum of its proper divisors (182110608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100160016 is a wasteful number, since it uses less digits than its factorization.

100160016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189719 (or 189713 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100160016 is about 10007.9976019182. The cubic root of 100160016 is about 464.4063275843.

The spelling of 100160016 in words is "one hundred million, one hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 189697 379394 569091 758788 1138182 1517576 2086667 2276364 3035152 4173334 4552728 6260001 8346668 9105456 12520002 16693336 25040004 33386672 50080008 100160016