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2121202020 = 223575778753
BaseRepresentation
bin111111001101110…
…1111100101100100
312110211102020010210
41332123233211210
513321011431040
6550252415420
7103364630310
oct17633574544
95424366123
102121202020
119993aa523
124b2477570
1327a602432
14161a08b40
15c6354480
hex7e6ef964

2121202020 has 96 divisors (see below), whose sum is σ = 6800387328. Its totient is φ = 483950592.

The previous prime is 2121202007. The next prime is 2121202051. The reversal of 2121202020 is 202021212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2121201987 and 2121202005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237964 + ... + 246716.

It is an arithmetic number, because the mean of its divisors is an integer number (70837368).

Almost surely, 22121202020 is an apocalyptic number.

2121202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400193664).

2121202020 is an abundant number, since it is smaller than the sum of its proper divisors (4679185308).

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

2121202020 is a wasteful number, since it uses less digits than its factorization.

2121202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2121202020 is about 46056.5089862443. The cubic root of 2121202020 is about 1284.8744031837.

Adding to 2121202020 its reverse (202021212), we get a palindrome (2323223232).

The spelling of 2121202020 in words is "two billion, one hundred twenty-one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 577 1154 1731 2308 2885 3462 4039 5770 6924 8078 8655 8753 11540 12117 16156 17310 17506 20195 24234 26259 34620 35012 40390 43765 48468 52518 60585 61271 80780 87530 105036 121170 122542 131295 175060 183813 242340 245084 262590 306355 367626 525180 612710 735252 919065 1225420 1838130 3676260 5050481 10100962 15151443 20201924 25252405 30302886 35353367 50504810 60605772 70706734 75757215 101009620 106060101 141413468 151514430 176766835 212120202 303028860 353533670 424240404 530300505 707067340 1060601010 2121202020