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21220202021120 = 28560892722661
BaseRepresentation
bin1001101001100101101101…
…00110101000000100000000
32210010122001100211121202122
410310302312212220010000
510240132433204133440
6113044232022103412
74320052250044454
oct464626646500400
983118040747678
1021220202021120
116841489916653
12246874a87ab68
13bac09708a59b
145350c5818664
1526bebd3e57b5
hex134cb69a8100

21220202021120 has 72 divisors (see below), whose sum is σ = 50837381504280. Its totient is φ = 8486683688960.

The previous prime is 21220202021111. The next prime is 21220202021149. The reversal of 21220202021120 is 2112020202212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3478314520576 + 17741887500544 = 1865024^2 + 4212112^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6432590 + ... + 9155250.

It is an arithmetic number, because the mean of its divisors is an integer number (706074743115).

Almost surely, 221220202021120 is an apocalyptic number.

21220202021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220202021120 is an abundant number, since it is smaller than the sum of its proper divisors (29617179483160).

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

21220202021120 is an equidigital number, since it uses as much as digits as its factorization.

21220202021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728771 (or 2728757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21220202021120 its reverse (2112020202212), we get a palindrome (23332222223332).

The spelling of 21220202021120 in words is "twenty-one trillion, two hundred twenty billion, two hundred two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 6089 12178 24356 30445 48712 60890 97424 121780 194848 243560 389696 487120 779392 974240 1558784 1948480 2722661 3896960 5445322 7793920 10890644 13613305 21781288 27226610 43562576 54453220 87125152 108906440 174250304 217812880 348500608 435625760 697001216 871251520 1742503040 3485006080 16578282829 33156565658 66313131316 82891414145 132626262632 165782828290 265252525264 331565656580 530505050528 663131313160 1061010101056 1326262626320 2122020202112 2652525252640 4244040404224 5305050505280 10610101010560 21220202021120