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1020022020 = 223255666789
BaseRepresentation
bin111100110011000…
…100110100000100
32122002100111011100
4330303010310010
54042111201040
6245114340100
734164021063
oct7463046404
92562314140
101020022020
11483859706
1224572a630
1313342a634
14996801da
155e838b30
hex3ccc4d04

1020022020 has 36 divisors (see below), whose sum is σ = 3094067340. Its totient is φ = 272005824.

The previous prime is 1020022019. The next prime is 1020022021. The reversal of 1020022020 is 202200201.

It is an interprime number because it is at equal distance from previous prime (1020022019) and next prime (1020022021).

It can be written as a sum of positive squares in 2 ways, for example, as 473584644 + 546437376 = 21762^2 + 23376^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1020021993 and 1020022011.

It is not an unprimeable number, because it can be changed into a prime (1020022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2833215 + ... + 2833574.

It is an arithmetic number, because the mean of its divisors is an integer number (85946315).

Almost surely, 21020022020 is an apocalyptic number.

1020022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020022020 is an abundant number, since it is smaller than the sum of its proper divisors (2074045320).

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

1020022020 is a wasteful number, since it uses less digits than its factorization.

1020022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666804 (or 5666799 counting only the distinct ones).

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

The square root of 1020022020 is about 31937.7835799543. The cubic root of 1020022020 is about 1006.6299532440.

Adding to 1020022020 its reverse (202200201), we get a palindrome (1222222221).

The spelling of 1020022020 in words is "one billion, twenty million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5666789 11333578 17000367 22667156 28333945 34000734 51001101 56667890 68001468 85001835 102002202 113335780 170003670 204004404 255005505 340007340 510011010 1020022020