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204230122144320 = 26351219971743811
BaseRepresentation
bin101110011011111100000111…
…111000100000001001000000
3222210010012122100201220212210
4232123330013320200021000
5203232101242232104240
62002210004535422120
761006065546265446
oct5633740770401100
9883105570656783
10204230122144320
115a08a565755a68
121aaa51ba824940
1389c5a82b667cc
143860b0d7a6b96
151892762bc3780
hexb9bf07e20240

204230122144320 has 112 divisors (see below), whose sum is σ = 648436324794048. Its totient is φ = 54460888258560.

The previous prime is 204230122144303. The next prime is 204230122144343. The reversal of 204230122144320 is 23441221032402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116245215 + ... + 117989025.

It is an arithmetic number, because the mean of its divisors is an integer number (5789610042804).

Almost surely, 2204230122144320 is an apocalyptic number.

204230122144320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204230122144320 is an abundant number, since it is smaller than the sum of its proper divisors (444206202649728).

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

204230122144320 is a wasteful number, since it uses less digits than its factorization.

204230122144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865828 (or 1865818 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 204230122144320 its reverse (23441221032402), we get a palindrome (227671343176722).

The spelling of 204230122144320 in words is "two hundred four trillion, two hundred thirty billion, one hundred twenty-two million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 121997 243994 365991 487988 609985 731982 975976 1219970 1463964 1743811 1829955 1951952 2439940 2927928 3487622 3659910 3903904 4879880 5231433 5855856 6975244 7319820 7807808 8719055 9759760 10462866 11711712 13950488 14639640 17438110 19519520 20925732 23423424 26157165 27900976 29279280 34876220 39039040 41851464 52314330 55801952 58558560 69752440 83702928 104628660 111603904 117117120 139504880 167405856 209257320 279009760 334811712 418514640 558019520 837029280 1674058560 212739710567 425479421134 638219131701 850958842268 1063698552835 1276438263402 1701917684536 2127397105670 2552876526804 3191095658505 3403835369072 4254794211340 5105753053608 6382191317010 6807670738144 8509588422680 10211506107216 12764382634020 13615341476288 17019176845360 20423012214432 25528765268040 34038353690720 40846024428864 51057530536080 68076707381440 102115061072160 204230122144320