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21838001275300 = 22527832161173933
BaseRepresentation
bin1001111011100100011100…
…10011110000000110100100
32212022200200212010110210011
410331302032103300012210
510330243211311302200
6114240123404140004
74412513013053020
oct475621623600644
985280625113704
1021838001275300
116a5a49844a271
122548426537604
13c2541248c752
14556d71991380
1527d0cabb65ba
hex13dc8e4f01a4

21838001275300 has 144 divisors (see below), whose sum is σ = 54836430993792. Its totient is φ = 7393640601600.

The previous prime is 21838001275213. The next prime is 21838001275313. The reversal of 21838001275300 is 357210083812.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125467134 + ... + 125641066.

It is an arithmetic number, because the mean of its divisors is an integer number (380808548568).

Almost surely, 221838001275300 is an apocalyptic number.

21838001275300 is a gapful number since it is divisible by the number (20) 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 21838001275300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27418215496896).

21838001275300 is an abundant number, since it is smaller than the sum of its proper divisors (32998429718492).

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

21838001275300 is a wasteful number, since it uses less digits than its factorization.

21838001275300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176198 (or 176191 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 21838001275300 in words is "twenty-one trillion, eight hundred thirty-eight billion, one million, two hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 700 830 1162 1660 2075 2161 2324 2905 4150 4322 5810 8300 8644 10805 11620 14525 15127 21610 29050 30254 43220 54025 58100 60508 75635 108050 151270 173933 179363 216100 302540 347866 358726 378175 695732 717452 756350 869665 896815 1217531 1255541 1512700 1739330 1793630 2435062 2511082 3478660 3587260 4348325 4484075 4870124 5022164 6087655 6277705 8696650 8968150 12175310 12555410 14436439 17393300 17936300 24350620 25110820 28872878 30438275 31388525 57745756 60876550 62777050 72182195 101055073 121753100 125554100 144364390 202110146 288728780 360910975 375869213 404220292 505275365 721821950 751738426 1010550730 1443643900 1503476852 1879346065 2021101460 2526376825 2631084491 3758692130 5052753650 5262168982 7517384260 9396730325 10105507300 10524337964 13155422455 18793460650 26310844910 31197144679 37586921300 52621689820 62394289358 65777112275 124788578716 131554224550 155985723395 218380012753 263108449100 311971446790 436760025506 623942893580 779928616975 873520051012 1091900063765 1559857233950 2183800127530 3119714467900 4367600255060 5459500318825 10919000637650 21838001275300