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2023120332000 = 25325356197787
BaseRepresentation
bin11101011100001011010…
…111100110010011100000
321011102000201211102000200
4131130023113212103200
5231121322301111000
64145224133545200
7266110544040555
oct35341327462340
97142021742020
102023120332000
11710000759489
12288116aa5200
13118a195355b1
146dcc3342a2c
153795cb5b500
hex1d70b5e64e0

2023120332000 has 144 divisors (see below), whose sum is σ = 7180054186032. Its totient is φ = 539498745600.

The previous prime is 2023120331957. The next prime is 2023120332029. The reversal of 2023120332000 is 2330213202.

It is a happy number.

2023120332000 is a `hidden beast` number, since 20 + 2 + 312 + 0 + 332 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28062894 + ... + 28134893.

It is an arithmetic number, because the mean of its divisors is an integer number (49861487403).

Almost surely, 22023120332000 is an apocalyptic number.

2023120332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023120332000 is an abundant number, since it is smaller than the sum of its proper divisors (5156933854032).

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

2023120332000 is a wasteful number, since it uses less digits than its factorization.

2023120332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56197818 (or 56197797 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2023120332000 its reverse (2330213202), we get a palindrome (2025450545202).

The spelling of 2023120332000 in words is "two trillion, twenty-three billion, one hundred twenty million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 56197787 112395574 168593361 224791148 280988935 337186722 449582296 505780083 561977870 674373444 842966805 899164592 1011560166 1123955740 1348746888 1404944675 1685933610 1798329184 2023120332 2247911480 2528900415 2697493776 2809889350 3371867220 4046240664 4214834025 4495822960 5057800830 5394987552 5619778700 6743734440 7024723375 8092481328 8429668050 8991645920 10115601660 11239557400 12644502075 13487468880 14049446750 16184962656 16859336100 20231203320 21074170125 22479114800 25289004150 26974937760 28098893500 33718672200 40462406640 42148340250 44958229600 50578008300 56197787000 63222510375 67437344400 80924813280 84296680500 101156016600 112395574000 126445020750 134874688800 168593361000 202312033200 224791148000 252890041500 337186722000 404624066400 505780083000 674373444000 1011560166000 2023120332000