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2023123231200 = 253521201170183
BaseRepresentation
bin11101011100001011100…
…010101010000111100000
321011102000221021200222110
4131130023202222013200
5231121324021344300
64145224320035320
7266110610504211
oct35341342520740
97142027250873
102023123231200
11710002359715
12288117a62b40
13118a1a00c0b6
146dcc3899408
153795d030550
hex1d70b8aa1e0

2023123231200 has 144 divisors (see below), whose sum is σ = 6585908224896. Its totient is φ = 539446924800.

The previous prime is 2023123231193. The next prime is 2023123231229. The reversal of 2023123231200 is 21323213202.

It is a happy number.

It is a super-3 number, since 3×20231232312003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28791309 + ... + 28861491.

It is an arithmetic number, because the mean of its divisors is an integer number (45735473784).

Almost surely, 22023123231200 is an apocalyptic number.

2023123231200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023123231200 is an abundant number, since it is smaller than the sum of its proper divisors (4562784993696).

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

2023123231200 is a wasteful number, since it uses less digits than its factorization.

2023123231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82217 (or 82204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2023123231200 its reverse (21323213202), we get a palindrome (2044446444402).

The spelling of 2023123231200 in words is "two trillion, twenty-three billion, one hundred twenty-three million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 12011 24022 36033 48044 60055 70183 72066 96088 120110 140366 144132 180165 192176 210549 240220 280732 288264 300275 350915 360330 384352 421098 480440 561464 576528 600550 701830 720660 842196 900825 960880 1052745 1122928 1153056 1201100 1403660 1441320 1684392 1754575 1801650 1921760 2105490 2245856 2402200 2807320 2882640 3368784 3509150 3603300 4210980 4804400 5263725 5614640 5765280 6737568 7018300 7206600 8421960 9608800 10527450 11229280 14036600 14413200 16843920 21054900 28073200 28826400 33687840 42109800 56146400 84219600 168439200 842968013 1685936026 2528904039 3371872052 4214840065 5057808078 6743744104 8429680130 10115616156 12644520195 13487488208 16859360260 20231232312 21074200325 25289040390 26974976416 33718720520 40462464624 42148400650 50578080780 63222600975 67437441040 80924929248 84296801300 101156161560 126445201950 134874882080 168593602600 202312323120 252890403900 337187205200 404624646240 505780807800 674374410400 1011561615600 2023123231200