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101044992 = 283413209
BaseRepresentation
bin1100000010111…
…01001100000000
321001010121200010
412001131030000
5201331414432
614005424520
72334603546
oct601351400
9231117603
10101044992
1152045664
1229a0b140
1317c1b349
14d5c3d96
158d0e3cc
hex605d300

101044992 has 72 divisors (see below), whose sum is σ = 275572080. Its totient is φ = 32849920.

The previous prime is 101044981. The next prime is 101045047. The reversal of 101044992 is 299440101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29884 + ... + 33092.

It is an arithmetic number, because the mean of its divisors is an integer number (3827390).

Almost surely, 2101044992 is an apocalyptic number.

101044992 is a gapful number since it is divisible by the number (12) 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 101044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137786040).

101044992 is an abundant number, since it is smaller than the sum of its proper divisors (174527088).

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

101044992 is an equidigital number, since it uses as much as digits as its factorization.

101044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 101044992 is about 10052.1138075531. The cubic root of 101044992 is about 465.7700917266.

The spelling of 101044992 in words is "one hundred one million, forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3209 3936 5248 6418 7872 9627 10496 12836 15744 19254 25672 31488 38508 51344 77016 102688 131569 154032 205376 263138 308064 394707 410752 526276 616128 789414 821504 1052552 1232256 1578828 2105104 2464512 3157656 4210208 6315312 8420416 12630624 16840832 25261248 33681664 50522496 101044992