Search a number
-
+
100999056 = 2432104147
BaseRepresentation
bin1100000010100…
…01111110010000
321001001021122210
412001101332100
5201323432211
614004432120
72334322614
oct601217620
9231037583
10100999056
11520140a4
12299a8640
1317c03472
14d5b1344
158d009a6
hex6051f90

100999056 has 20 divisors (see below), whose sum is σ = 260914352. Its totient is φ = 33666336.

The previous prime is 100999039. The next prime is 100999109. The reversal of 100999056 is 650999001.

It is a super-3 number, since 3×1009990563 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1052026 + ... + 1052121.

Almost surely, 2100999056 is an apocalyptic number.

100999056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100999056 is an abundant number, since it is smaller than the sum of its proper divisors (159915296).

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

100999056 is a wasteful number, since it uses less digits than its factorization.

100999056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104158 (or 2104152 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 100999056 is about 10049.8286552558. The cubic root of 100999056 is about 465.6994998792.

Subtracting 100999056 from its reverse (650999001), we obtain a palindrome (549999945).

The spelling of 100999056 in words is "one hundred million, nine hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 2104147 4208294 6312441 8416588 12624882 16833176 25249764 33666352 50499528 100999056