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20122102102000 = 245359170526289
BaseRepresentation
bin1001001001101000010101…
…01111110111011111110000
32122020122122220002221222211
410210310022233313133300
510114140031114231000
6110443544401541504
74144526306534353
oct444641257673760
978218586087884
1020122102102000
116458810066538
12230b96b344894
13b2c676b43932
144d7cb483a29a
1524d64e66b7ba
hex124d0abf77f0

20122102102000 has 80 divisors (see below), whose sum is σ = 49479908306400. Its totient is φ = 7912419763200.

The previous prime is 20122102101989. The next prime is 20122102102001. The reversal of 20122102102000 is 20120122102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122102102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85145145 + ... + 85381144.

It is an arithmetic number, because the mean of its divisors is an integer number (618498853830).

Almost surely, 220122102102000 is an apocalyptic number.

20122102102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122102102000 is an abundant number, since it is smaller than the sum of its proper divisors (29357806204400).

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

20122102102000 is a wasteful number, since it uses less digits than its factorization.

20122102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170526371 (or 170526355 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20122102102000 its reverse (20120122102), we get a palindrome (20142222224102).

The spelling of 20122102102000 in words is "twenty trillion, one hundred twenty-two billion, one hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 4720 5900 7375 11800 14750 23600 29500 59000 118000 170526289 341052578 682105156 852631445 1364210312 1705262890 2728420624 3410525780 4263157225 6821051560 8526314450 10061051051 13642103120 17052628900 20122102102 21315786125 34105257800 40244204204 42631572250 50305255255 68210515600 80488408408 85263144500 100610510510 160976816816 170526289000 201221021020 251526276275 341052578000 402442042040 503052552550 804884084080 1006105105100 1257631381375 2012210210200 2515262762750 4024420420400 5030525525500 10061051051000 20122102102000