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20233122102000 = 2432531124062339
BaseRepresentation
bin1001001100110111001000…
…00011100011101011110000
32122122021020001211022022200
410212123210003203223300
510122444413224231000
6111010545025503200
74155536425134633
oct446334403435360
978567201738280
1020233122102000
1164a0900a4a755
1223293937a1b00
13b39c8a761122
144dd407295c1a
1525149b096500
hex1266e40e3af0

20233122102000 has 120 divisors (see below), whose sum is σ = 70667551191120. Its totient is φ = 5395499222400.

The previous prime is 20233122101981. The next prime is 20233122102107. The reversal of 20233122102000 is 20122133202.

20233122102000 is a `hidden beast` number, since 20 + 233 + 1 + 2 + 210 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 562013170 + ... + 562049169.

It is an arithmetic number, because the mean of its divisors is an integer number (588896259926).

Almost surely, 220233122102000 is an apocalyptic number.

20233122102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20233122102000 is an abundant number, since it is smaller than the sum of its proper divisors (50434429089120).

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

20233122102000 is a wasteful number, since it uses less digits than its factorization.

20233122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124062368 (or 1124062349 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20233122102000 its reverse (20122133202), we get a palindrome (20253244235202).

The spelling of 20233122102000 in words is "twenty trillion, two hundred thirty-three billion, one hundred twenty-two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 1124062339 2248124678 3372187017 4496249356 5620311695 6744374034 8992498712 10116561051 11240623390 13488748068 16860935085 17984997424 20233122102 22481246780 26977496136 28101558475 33721870170 40466244204 44962493560 50582805255 53954992272 56203116950 67443740340 80932488408 84304675425 89924987120 101165610510 112406233900 134887480680 140507792375 161864976816 168609350850 202331221020 224812467800 252914026275 269774961360 281015584750 337218701700 404662442040 421523377125 449624935600 505828052550 562031169500 674437403400 809324884080 843046754250 1011656105100 1124062339000 1264570131375 1348874806800 1686093508500 2023312210200 2248124678000 2529140262750 3372187017000 4046624420400 5058280525500 6744374034000 10116561051000 20233122102000