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20021122201000 = 235366130289141
BaseRepresentation
bin1001000110101100001111…
…11000000111010110101000
32121220000000102121111021111
410203112013320013112220
510111011224240413000
6110325324312120104
74134323033535544
oct443260770072650
977800012544244
1020021122201000
116419a015952a8
1222b4289396034
13b22ca331351b
144d30555c0a24
1524abde3c0cba
hex123587e075a8

20021122201000 has 64 divisors (see below), whose sum is σ = 46920304089360. Its totient is φ = 7996332960000.

The previous prime is 20021122200977. The next prime is 20021122201001. The reversal of 20021122201000 is 10222112002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2574311145156 + 17446811055844 = 1604466^2 + 4176938^2 .

It is not an unprimeable number, because it can be changed into a prime (20021122201001) 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, 14483571 + ... + 15805570.

Almost surely, 220021122201000 is an apocalyptic number.

20021122201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021122201000 is an abundant number, since it is smaller than the sum of its proper divisors (26899181888360).

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

20021122201000 is a wasteful number, since it uses less digits than its factorization.

20021122201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30289823 (or 30289809 counting only the distinct ones).

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

Adding to 20021122201000 its reverse (10222112002), we get a palindrome (20031344313002).

The spelling of 20021122201000 in words is "twenty trillion, twenty-one billion, one hundred twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 661 1000 1322 2644 3305 5288 6610 13220 16525 26440 33050 66100 82625 132200 165250 330500 661000 30289141 60578282 121156564 151445705 242313128 302891410 605782820 757228525 1211565640 1514457050 3028914100 3786142625 6057828200 7572285250 15144570500 20021122201 30289141000 40042244402 80084488804 100105611005 160168977608 200211222010 400422444020 500528055025 800844888040 1001056110050 2002112220100 2502640275125 4004224440200 5005280550250 10010561100500 20021122201000