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2002021020 = 2232511939323
BaseRepresentation
bin111011101010100…
…0110101010011100
312011112011012112200
41313111012222130
513100004133040
6530354131500
7100416616656
oct16725065234
95145135480
102002021020
119380a802a
1247a580b90
1325ba0422c
1414dc636d6
15bab61630
hex77546a9c

2002021020 has 72 divisors (see below), whose sum is σ = 6078539376. Its totient is φ = 533367552.

The previous prime is 2002021019. The next prime is 2002021027. The reversal of 2002021020 is 201202002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002020993 and 2002021011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002021027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210079 + ... + 219401.

It is an arithmetic number, because the mean of its divisors is an integer number (84424158).

Almost surely, 22002021020 is an apocalyptic number.

2002021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002021020 is an abundant number, since it is smaller than the sum of its proper divisors (4076518356).

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

2002021020 is a wasteful number, since it uses less digits than its factorization.

2002021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10526 counting only the distinct ones).

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

The square root of 2002021020 is about 44743.9495351047. The cubic root of 2002021020 is about 1260.3452946325.

Adding to 2002021020 its reverse (201202002), we get a palindrome (2203223022).

The spelling of 2002021020 in words is "two billion, two million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1193 2386 3579 4772 5965 7158 9323 10737 11930 14316 17895 18646 21474 23860 27969 35790 37292 42948 46615 53685 55938 71580 83907 93230 107370 111876 139845 167814 186460 214740 279690 335628 419535 559380 839070 1678140 11122339 22244678 33367017 44489356 55611695 66734034 100101051 111223390 133468068 166835085 200202102 222446780 333670170 400404204 500505255 667340340 1001010510 2002021020