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20022100101200 = 245261820577873
BaseRepresentation
bin1001000110101110000100…
…01010100000100001010000
32121220002112120200222011102
410203113002022200201100
510111020230111214300
6110330005324003532
74134356206543541
oct443270212404120
977802476628142
1020022100101200
11641a36359418a
1222b45009905a8
13b230caab35b2
144d31094184c8
1524ac4a1890d5
hex1235c22a0850

20022100101200 has 60 divisors (see below), whose sum is σ = 48891670888668. Its totient is φ = 7877547571200.

The previous prime is 20022100101191. The next prime is 20022100101209. The reversal of 20022100101200 is 210100122002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20022100101191) and next prime (20022100101209).

It can be written as a sum of positive squares in 6 ways, for example, as 1051510786624 + 18970589314576 = 1025432^2 + 4355524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022100101209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410264537 + ... + 410313336.

Almost surely, 220022100101200 is an apocalyptic number.

20022100101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022100101200 is an abundant number, since it is smaller than the sum of its proper divisors (28869570787468).

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

20022100101200 is a wasteful number, since it uses less digits than its factorization.

20022100101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820577952 (or 820577941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20022100101200 its reverse (210100122002), we get a palindrome (20232200223202).

The spelling of 20022100101200 in words is "twenty trillion, twenty-two billion, one hundred million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2440 3050 4880 6100 12200 24400 820577873 1641155746 3282311492 4102889365 6564622984 8205778730 13129245968 16411557460 20514446825 32823114920 41028893650 50055250253 65646229840 82057787300 100110500506 164115574600 200221001012 250276251265 328231149200 400442002024 500552502530 800884004048 1001105005060 1251381256325 2002210010120 2502762512650 4004420020240 5005525025300 10011050050600 20022100101200