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1020220020 = 2232516073527
BaseRepresentation
bin111100110011110…
…101001001110100
32122002201112202200
4330303311021310
54042134020040
6245122504500
734165504251
oct7463651164
92562645680
101020220020
11483984446
12245805130
131334997b1
14996d2428
155e877630
hex3ccf5274

1020220020 has 72 divisors (see below), whose sum is σ = 3097471104. Its totient is φ = 271812288.

The previous prime is 1020220001. The next prime is 1020220043. The reversal of 1020220020 is 200220201.

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 = 1020219984 and 1020220011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 287497 + ... + 291023.

It is an arithmetic number, because the mean of its divisors is an integer number (43020432).

Almost surely, 21020220020 is an apocalyptic number.

1020220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020220020 is an abundant number, since it is smaller than the sum of its proper divisors (2077251084).

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

1020220020 is a wasteful number, since it uses less digits than its factorization.

1020220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5144 counting only the distinct ones).

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

The square root of 1020220020 is about 31940.8832063235. The cubic root of 1020220020 is about 1006.6950825032.

Adding to 1020220020 its reverse (200220201), we get a palindrome (1220440221).

The spelling of 1020220020 in words is "one billion, twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1607 3214 3527 4821 6428 7054 8035 9642 10581 14108 14463 16070 17635 19284 21162 24105 28926 31743 32140 35270 42324 48210 52905 57852 63486 70540 72315 96420 105810 126972 144630 158715 211620 289260 317430 634860 5667889 11335778 17003667 22671556 28339445 34007334 51011001 56678890 68014668 85018335 102022002 113357780 170036670 204044004 255055005 340073340 510110010 1020220020