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20102022201100 = 22527233571229489
BaseRepresentation
bin1001001001000010111011…
…11001000111111100001100
32122011201211111020022022111
410210201131321013330030
510113322420140413400
6110430424055553404
74143215564306260
oct444413571077414
978151744208274
1020102022201100
116450246523814
122307aa668b864
13b2a7c6a41a78
144d6d2bab60a0
1524cd768bb3ba
hex12485de47f0c

20102022201100 has 72 divisors (see below), whose sum is σ = 49855190001120. Its totient is φ = 6891821214720.

The previous prime is 20102022200993. The next prime is 20102022201109. The reversal of 20102022201100 is 110222020102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20102022201109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15735156 + ... + 16964644.

It is an arithmetic number, because the mean of its divisors is an integer number (692433194460).

Almost surely, 220102022201100 is an apocalyptic number.

20102022201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102022201100 is an abundant number, since it is smaller than the sum of its proper divisors (29753167800020).

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

20102022201100 is a wasteful number, since it uses less digits than its factorization.

20102022201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252867 (or 1252860 counting only the distinct ones).

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

Adding to 20102022201100 its reverse (110222020102), we get a palindrome (20212244221202).

The spelling of 20102022201100 in words is "twenty trillion, one hundred two billion, twenty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 23357 46714 93428 116785 163499 233570 326998 467140 583925 653996 817495 1167850 1229489 1634990 2335700 2458978 3269980 4087475 4917956 6147445 8174950 8606423 12294890 16349900 17212846 24589780 30737225 34425692 43032115 61474450 86064230 122948900 172128460 215160575 430321150 860642300 28717174573 57434349146 114868698292 143585872865 201020222011 287171745730 402040444022 574343491460 717929364325 804080888044 1005101110055 1435858728650 2010202220110 2871717457300 4020404440220 5025505550275 10051011100550 20102022201100