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20231202022000 = 2453109271342449
BaseRepresentation
bin1001001100110011100011…
…00111000010001001110000
32122122002021020212010201121
410212121301213002021300
510122432000204201000
6111010030315512024
74155441021544024
oct446316147021160
978562236763647
1020231202022000
1164a000612a182
122328b38758614
13b39a42a19908
144dd2a4282384
152513d771db1a
hex1266719c2270

20231202022000 has 160 divisors (see below), whose sum is σ = 49550158944000. Its totient is φ = 7988626944000.

The previous prime is 20231202021983. The next prime is 20231202022007. The reversal of 20231202022000 is 22020213202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231202022007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 58906776 + ... + 59249224.

It is an arithmetic number, because the mean of its divisors is an integer number (309688493400).

Almost surely, 220231202022000 is an apocalyptic number.

20231202022000 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 20231202022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775079472000).

20231202022000 is an abundant number, since it is smaller than the sum of its proper divisors (29318956922000).

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

20231202022000 is a wasteful number, since it uses less digits than its factorization.

20231202022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342852 (or 342836 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20231202022000 its reverse (22020213202), we get a palindrome (20253222235202).

The spelling of 20231202022000 in words is "twenty trillion, two hundred thirty-one billion, two hundred two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 271 400 436 500 542 545 872 1000 1084 1090 1355 1744 2000 2168 2180 2710 2725 4336 4360 5420 5450 6775 8720 10840 10900 13550 13625 21680 21800 27100 27250 29539 33875 43600 54200 54500 59078 67750 108400 109000 118156 135500 147695 218000 236312 271000 295390 342449 472624 542000 590780 684898 738475 1181560 1369796 1476950 1712245 2363120 2739592 2953900 3424490 3692375 5479184 5907800 6848980 7384750 8561225 11815600 13697960 14769500 17122450 27395920 29539000 34244900 37326941 42806125 59078000 68489800 74653882 85612250 92803679 136979600 149307764 171224500 185607358 186634705 298615528 342449000 371214716 373269410 464018395 597231056 684898000 742429432 746538820 928036790 933173525 1484858864 1493077640 1856073580 1866347050 2320091975 2986155280 3712147160 3732694100 4640183950 4665867625 7424294320 7465388200 9280367900 9331735250 10115601011 11600459875 14930776400 18560735800 18663470500 20231202022 23200919750 37121471600 37326941000 40462404044 46401839500 50578005055 74653882000 80924808088 92803679000 101156010110 161849616176 185607358000 202312020220 252890025275 404624040440 505780050550 809248080880 1011560101100 1264450126375 2023120202200 2528900252750 4046240404400 5057800505500 10115601011000 20231202022000