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220103312020 = 22529679475981
BaseRepresentation
bin1100110011111100101…
…1100000001010010100
3210001010101012202012021
43030333023200022110
512101232421441040
6245040345502524
721621236166064
oct3147713401224
9701111182167
10220103312020
1185388644059
12367a81a1a44
13179a9229c87
14a91ddbb3a4
155ad32eb24a
hex333f2e0294

220103312020 has 96 divisors (see below), whose sum is σ = 485885796480. Its totient is φ = 83634270720.

The previous prime is 220103312003. The next prime is 220103312021. The reversal of 220103312020 is 20213301022.

It is a junction number, because it is equal to n+sod(n) for n = 220103311985 and 220103312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220103312021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36797430 + ... + 36803410.

It is an arithmetic number, because the mean of its divisors is an integer number (5061310380).

Almost surely, 2220103312020 is an apocalyptic number.

220103312020 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 220103312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242942898240).

220103312020 is an abundant number, since it is smaller than the sum of its proper divisors (265782484460).

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

220103312020 is a wasteful number, since it uses less digits than its factorization.

220103312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7033 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220103312020 its reverse (20213301022), we get a palindrome (240316613042).

The spelling of 220103312020 in words is "two hundred twenty billion, one hundred three million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 947 1340 1894 1943 3788 3886 4735 5981 7772 9470 9715 11962 18940 19430 23924 27463 29905 38860 54926 59810 63449 109852 119620 126898 137315 173449 253796 274630 317245 346898 400727 549260 634490 693796 801454 867245 1268980 1602908 1734490 1840021 2003635 3468980 3680042 4007270 5664007 7360084 8014540 9200105 11328014 11621083 18400210 22656028 23242166 28320035 36800420 46484332 56640070 58105415 113280140 116210830 164256203 232421660 328512406 379488469 657024812 758976938 821281015 1517953876 1642562030 1897442345 3285124060 3794884690 7589769380 11005165601 22010331202 44020662404 55025828005 110051656010 220103312020