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2023301300300 = 2252783197917597
BaseRepresentation
bin11101011100010110001…
…001111100000001001100
321011102111100100112212022
4131130112021330001030
5231122210113102200
64145254120425312
7266115202201130
oct35342611740114
97142440315768
102023301300300
11710093922665
12288167618238
13118a47b88127
146dcdd3ad3c0
153796d9a6885
hex1d71627c04c

2023301300300 has 144 divisors (see below), whose sum is σ = 5081097288960. Its totient is φ = 684960195840.

The previous prime is 2023301300297. The next prime is 2023301300309. The reversal of 2023301300300 is 30031033202.

It is not an unprimeable number, because it can be changed into a prime (2023301300309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114971102 + ... + 114988698.

It is an arithmetic number, because the mean of its divisors is an integer number (35285397840).

Almost surely, 22023301300300 is an apocalyptic number.

2023301300300 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 2023301300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540548644480).

2023301300300 is an abundant number, since it is smaller than the sum of its proper divisors (3057795988660).

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

2023301300300 is a wasteful number, since it uses less digits than its factorization.

2023301300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19680 (or 19673 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 2023301300300 its reverse (30031033202), we get a palindrome (2053332333502).

The spelling of 2023301300300 in words is "two trillion, twenty-three billion, three hundred one million, three hundred 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 1979 2075 2324 2905 3958 4150 5810 7916 8300 9895 11620 13853 14525 17597 19790 27706 29050 35194 39580 49475 55412 58100 69265 70388 87985 98950 123179 138530 164257 175970 197900 246358 277060 328514 346325 351940 439925 492716 615895 657028 692650 821285 879850 1149799 1231790 1385300 1460551 1642570 1759700 2299598 2463580 2921102 3079475 3285140 4106425 4599196 5748995 5842204 6158950 7302755 8212850 10223857 11497990 12317900 14605510 16425700 20447714 22995980 28744975 29211020 34824463 36513775 40895428 51119285 57489950 69648926 73027550 102238570 114979900 139297852 146055100 174122315 204477140 243771241 255596425 348244630 487542482 511192850 696489260 870611575 975084964 1022385700 1218856205 1741223150 2437712410 2890430429 3482446300 4875424820 5780860858 6094281025 11561721716 12188562050 14452152145 20233013003 24377124100 28904304290 40466026006 57808608580 72260760725 80932052012 101165065015 144521521450 202330130030 289043042900 404660260060 505825325075 1011650650150 2023301300300