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100216424 = 23711374397
BaseRepresentation
bin1011111100100…
…10111001101000
320222120112002102
411332102321220
5201123411144
613535552532
72324553110
oct576227150
9228515072
10100216424
115162a0a0
122968b748
13179bb179
14d44a040
158be8b4e
hex5f92e68

100216424 has 64 divisors (see below), whose sum is σ = 240658560. Its totient is φ = 37981440.

The previous prime is 100216381. The next prime is 100216433. The reversal of 100216424 is 424612001.

It is a junction number, because it is equal to n+sod(n) for n = 100216396 and 100216405.

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, 20594 + ... + 24990.

It is an arithmetic number, because the mean of its divisors is an integer number (3760290).

Almost surely, 2100216424 is an apocalyptic number.

100216424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100216424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120329280).

100216424 is an abundant number, since it is smaller than the sum of its proper divisors (140442136).

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

100216424 is a wasteful number, since it uses less digits than its factorization.

100216424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 100216424 is about 10010.8153514087. The cubic root of 100216424 is about 464.4934924930.

Adding to 100216424 its reverse (424612001), we get a palindrome (524828425).

The spelling of 100216424 in words is "one hundred million, two hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 4397 5698 8794 11396 17588 22792 30779 35176 48367 61558 96734 123116 162689 193468 246232 325378 338569 386936 650756 677138 1138823 1301512 1354276 1789579 2277646 2708552 3579158 4555292 7158316 9110584 12527053 14316632 25054106 50108212 100216424