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1002021022020 = 223517982373551
BaseRepresentation
bin11101001010011010001…
…10110110100101000100
310112210101120022222111110
432211031012312211010
5112404114340201040
62044153324005020
7132252005104344
oct16451506664504
93483346288443
101002021022020
11356a55820727
12142246990770
137364abc3565
14366d8a14d24
151b0e8dcc980
hexe94d1b6944

1002021022020 has 48 divisors (see below), whose sum is σ = 2970697621248. Its totient is φ = 251487628800.

The previous prime is 1002021021997. The next prime is 1002021022099. The reversal of 1002021022020 is 202201202001.

It is a super-2 number, since 2×10020210220202 (a number of 25 digits) contains 22 as substring.

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 = 1002021021987 and 1002021022005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491185756 + ... + 491187795.

It is an arithmetic number, because the mean of its divisors is an integer number (61889533776).

Almost surely, 21002021022020 is an apocalyptic number.

1002021022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002021022020 is an abundant number, since it is smaller than the sum of its proper divisors (1968676599228).

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

1002021022020 is a wasteful number, since it uses less digits than its factorization.

1002021022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982373580 (or 982373578 counting only the distinct ones).

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

Adding to 1002021022020 its reverse (202201202001), we get a palindrome (1204222224021).

The spelling of 1002021022020 in words is "one trillion, two billion, twenty-one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 982373551 1964747102 2947120653 3929494204 4911867755 5894241306 9823735510 11788482612 14735603265 16700350367 19647471020 29471206530 33400700734 50101051101 58942413060 66801401468 83501751835 100202102202 167003503670 200404204404 250505255505 334007007340 501010511010 1002021022020