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10044041202200 = 2352127324517
BaseRepresentation
bin1001001000101000111110…
…0000100000101000011000
31022120012102111112010120102
42102022033200200220120
52304030144021432300
633210100244514532
72054441463364565
oct222121740405030
938505374463512
1010044041202200
113222721458095
1211627290aba48
1357b1c2527295
1426a1c42d786c
151264065dd0d5
hex9228f820a18

10044041202200 has 96 divisors (see below), whose sum is σ = 23538692236800. Its totient is φ = 3985819125120.

The previous prime is 10044041202127. The next prime is 10044041202227. The reversal of 10044041202200 is 220214044001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409664342 + ... + 409688858.

It is an arithmetic number, because the mean of its divisors is an integer number (245194710800).

Almost surely, 210044041202200 is an apocalyptic number.

10044041202200 is a gapful number since it is divisible by the number (10) 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 10044041202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11769346118400).

10044041202200 is an abundant number, since it is smaller than the sum of its proper divisors (13494651034600).

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

10044041202200 is an frugal number, since it uses more digits than its factorization.

10044041202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24914 (or 24651 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10044041202200 its reverse (220214044001), we get a palindrome (10264255246201).

The spelling of 10044041202200 in words is "ten trillion, forty-four billion, forty-one million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 5080 6350 12700 16129 24517 25400 32258 49034 64516 80645 98068 122585 129032 161290 196136 245170 322580 403225 490340 612925 645160 806450 980680 1225850 1612900 2048383 2451700 3113659 3225800 4096766 4903400 6227318 8193532 10241915 12454636 15568295 16387064 20483830 24909272 31136590 40967660 51209575 62273180 77841475 81935320 102419150 124546360 155682950 204838300 311365900 395434693 409676600 622731800 790869386 1581738772 1977173465 3163477544 3954346930 7908693860 9885867325 15817387720 19771734650 39543469300 50220206011 79086938600 100440412022 200880824044 251101030055 401761648088 502202060110 1004404120220 1255505150275 2008808240440 2511010300550 5022020601100 10044041202200