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2023313200220 = 22513231217278017
BaseRepresentation
bin11101011100010110110…
…111010101010001011100
321011102112011202010111002
4131130112313111101130
5231122221134401340
64145255223445432
7266115405302564
oct35342667252134
97142464663432
102023313200220
1171009a610204
1228816b5b6878
13118a4a4936c0
146dd00bc9da4
153796ea57715
hex1d716dd545c

2023313200220 has 96 divisors (see below), whose sum is σ = 4778689039488. Its totient is φ = 713998467072.

The previous prime is 2023313200211. The next prime is 2023313200253. The reversal of 2023313200220 is 220023133202.

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

It is a junction number, because it is equal to n+sod(n) for n = 2023313200192 and 2023313200201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7138652 + ... + 7416668.

It is an arithmetic number, because the mean of its divisors is an integer number (49778010828).

Almost surely, 22023313200220 is an apocalyptic number.

2023313200220 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 2023313200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389344519744).

2023313200220 is an abundant number, since it is smaller than the sum of its proper divisors (2755375839268).

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

2023313200220 is a wasteful number, since it uses less digits than its factorization.

2023313200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279279 (or 279277 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2023313200220 its reverse (220023133202), we get a palindrome (2243336333422).

The spelling of 2023313200220 in words is "two trillion, twenty-three billion, three hundred thirteen million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1217 1495 2434 2990 4868 5980 6085 12170 15821 24340 27991 31642 55982 63284 79105 111964 139955 158210 278017 279910 316420 363883 556034 559820 727766 1112068 1390085 1455532 1819415 2780170 3614221 3638830 5560340 6394391 7228442 7277660 12788782 14456884 18071105 25577564 31971955 36142210 63943910 72284420 83127083 127887820 166254166 332508332 338346689 415635415 676693378 831270830 1353386756 1662541660 1691733445 3383466890 4398506957 6766933780 7781973847 8797013914 15563947694 17594027828 21992534785 31127895388 38909869235 43985069570 77819738470 87970139140 101165660011 155639476940 202331320022 404662640044 505828300055 1011656600110 2023313200220