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1020020020020 = 223358389225167
BaseRepresentation
bin11101101011111011110…
…11100101001100110100
310121111211221121211001000
432311331323211030310
5113203000111120040
62100331333003300
7133460022054231
oct16657573451464
93544757554030
101020020020020
11363651789291
1214582a783530
1375258b62a31
1437525260788
151b7ee139130
hexed7dee5334

1020020020020 has 96 divisors (see below), whose sum is σ = 3173787993600. Its totient is φ = 271971706752.

The previous prime is 1020020019947. The next prime is 1020020020021. The reversal of 1020020020020 is 200200200201.

It is a Harshad number since it is a multiple of its sum of digits (9).

1020020020020 is a modest number, since divided by 20020020 gives 1020 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1020020019984 and 1020020020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4417477 + ... + 4642643.

It is an arithmetic number, because the mean of its divisors is an integer number (33060291600).

Almost surely, 21020020020020 is an apocalyptic number.

1020020020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020020020020 is an abundant number, since it is smaller than the sum of its proper divisors (2153767973580).

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

1020020020020 is a wasteful number, since it uses less digits than its factorization.

1020020020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233574 (or 233566 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1020020020020 its reverse (200200200201), we get a palindrome (1220220220221).

The spelling of 1020020020020 in words is "one trillion, twenty billion, twenty million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 8389 16778 25167 33556 41945 50334 75501 83890 100668 125835 151002 167780 225167 226503 251670 302004 377505 450334 453006 503340 675501 755010 900668 906012 1125835 1132515 1351002 1510020 2026503 2251670 2265030 2702004 3377505 4053006 4503340 4530060 6079509 6755010 8106012 10132515 12159018 13510020 20265030 24318036 30397545 40530060 60795090 121590180 1888925963 3777851926 5666777889 7555703852 9444629815 11333555778 17000333667 18889259630 22667111556 28333889445 34000667334 37778519260 51001001001 56667778890 68001334668 85001668335 102002002002 113335557780 170003336670 204004004004 255005005005 340006673340 510010010010 1020020020020