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20203200012100 = 2252760770167829
BaseRepresentation
bin1001001011111111011001…
…00011110101111101000100
32122112101222202010122111211
410211333230203311331010
510122002123200341400
6110545115535341204
74153430062436140
oct445775443657504
978471882118454
1020203200012100
11648a14678a736
122323622981804
13b371cc5770a1
144dbba932c220
152507e920bdba
hex125fec8f5f44

20203200012100 has 144 divisors (see below), whose sum is σ = 50258813230080. Its totient is φ = 6905433024000.

The previous prime is 20203200012041. The next prime is 20203200012119. The reversal of 20203200012100 is 121000230202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297820986 + ... + 297888814.

It is an arithmetic number, because the mean of its divisors is an integer number (349019536320).

Almost surely, 220203200012100 is an apocalyptic number.

20203200012100 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 20203200012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25129406615040).

20203200012100 is an abundant number, since it is smaller than the sum of its proper divisors (30055613217980).

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

20203200012100 is a wasteful number, since it uses less digits than its factorization.

20203200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69158 (or 69151 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20203200012100 its reverse (121000230202), we get a palindrome (20324200242302).

The spelling of 20203200012100 in words is "twenty trillion, two hundred three billion, two hundred million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 607 700 701 1214 1402 2428 2804 3035 3505 4249 4907 6070 7010 8498 9814 12140 14020 15175 16996 17525 19628 21245 24535 30350 35050 42490 49070 60700 67829 70100 84980 98140 106225 122675 135658 212450 245350 271316 339145 424900 425507 474803 490700 678290 851014 949606 1356580 1695725 1702028 1899212 2127535 2374015 2978549 3391450 4255070 4748030 5957098 6782900 8510140 9496060 10637675 11870075 11914196 14892745 21275350 23740150 29785490 41172203 42550700 47480300 47548129 59570980 74463725 82344406 95096258 148927450 164688812 190192516 205861015 237740645 288205421 297854900 332836903 411722030 475481290 576410842 665673806 823444060 950962580 1029305075 1152821684 1188703225 1331347612 1441027105 1664184515 2058610150 2377406450 2882054210 3328369030 4117220300 4754812900 5764108420 6656738060 7205135525 8320922575 14410271050 16641845150 28820542100 28861714303 33283690300 57723428606 115446857212 144308571515 202032000121 288617143030 404064000242 577234286060 721542857575 808128000484 1010160000605 1443085715150 2020320001210 2886171430300 4040640002420 5050800003025 10101600006050 20203200012100