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101216008 = 23235397107
BaseRepresentation
bin1100000100001…
…10111100001000
321001110022021001
412002012330020
5201402403013
614013224344
72336215255
oct602067410
9231408231
10101216008
11521520a3
1229a920b4
1317c7b13a
14d62a42c
158d44ddd
hex6086f08

101216008 has 64 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 46565376.

The previous prime is 101215999. The next prime is 101216041. The reversal of 101216008 is 800612101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945891 + ... + 945997.

It is an arithmetic number, because the mean of its divisors is an integer number (3214890).

Almost surely, 2101216008 is an apocalyptic number.

It is an amenable number.

101216008 is an abundant number, since it is smaller than the sum of its proper divisors (104536952).

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

101216008 is a wasteful number, since it uses less digits than its factorization.

101216008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 101216008 is about 10060.6166808998. The cubic root of 101216008 is about 466.0327115131.

Adding to 101216008 its reverse (800612101), we get a palindrome (901828109).

It can be divided in two parts, 10121 and 6008, that added together give a square (16129 = 1272).

The spelling of 101216008 in words is "one hundred one million, two hundred sixteen thousand, eight".

Divisors: 1 2 4 8 23 46 53 92 97 106 107 184 194 212 214 388 424 428 776 856 1219 2231 2438 2461 4462 4876 4922 5141 5671 8924 9752 9844 10282 10379 11342 17848 19688 20564 20758 22684 41128 41516 45368 83032 118243 130433 236486 238717 260866 472972 477434 521732 550087 945944 954868 1043464 1100174 1909736 2200348 4400696 12652001 25304002 50608004 101216008