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220020001020 = 223252119116359
BaseRepresentation
bin1100110011101000110…
…1101100100011111100
3210000220120110002222200
43030322031230203330
512101100110013040
6245024212111500
721616205102631
oct3147215544374
9700816402880
10220020001020
1185345611296
1236784305590
1317994baa821
14a912cd2188
155acad41630
hex333a36c8fc

220020001020 has 144 divisors (see below), whose sum is σ = 671398640640. Its totient is φ = 58320662400.

The previous prime is 220020001013. The next prime is 220020001021. The reversal of 220020001020 is 20100020022.

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 = 220020000993 and 220020001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220020001021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34596601 + ... + 34602959.

It is an arithmetic number, because the mean of its divisors is an integer number (4662490560).

Almost surely, 2220020001020 is an apocalyptic number.

220020001020 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 220020001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335699320320).

220020001020 is an abundant number, since it is smaller than the sum of its proper divisors (451378639620).

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

220020001020 is a wasteful number, since it uses less digits than its factorization.

220020001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7491 counting only the distinct ones).

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

Adding to 220020001020 its reverse (20100020022), we get a palindrome (240120021042).

The spelling of 220020001020 in words is "two hundred twenty billion, twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 911 1055 1266 1822 1899 2110 2532 2733 3165 3644 3798 4220 4555 5466 6330 6359 7596 8199 9110 9495 10932 12660 12718 13665 16398 18220 18990 19077 25436 27330 31795 32796 37980 38154 40995 54660 57231 63590 76308 81990 95385 114462 127180 163980 190770 192221 228924 286155 381540 384442 572310 576663 768884 961105 1144620 1153326 1341749 1729989 1922210 2306652 2683498 2883315 3459978 3844420 4025247 5366996 5766630 5793049 6708745 6919956 8050494 8649945 11533260 11586098 12075741 13417490 16100988 17299890 17379147 20126235 23172196 24151482 26834980 28965245 34599780 34758294 40252470 48302964 52137441 57930490 60378705 69516588 80504940 86895735 104274882 115860980 120757410 173791470 208549764 241514820 260687205 347582940 521374410 1042748820 1222333339 2444666678 3667000017 4889333356 6111666695 7334000034 11001000051 12223333390 14668000068 18335000085 22002000102 24446666780 36670000170 44004000204 55005000255 73340000340 110010000510 220020001020