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220102012020 = 2235111669199813
BaseRepresentation
bin1100110011111100011…
…0100010110001110100
3210001010021202200221010
43030333012202301310
512101232103341040
6245040301552220
721621222143022
oct3147706426164
9701107680833
10220102012020
1185387936380
12367a7875670
13179a8b93347
14a91db5d712
155ad3140e80
hex333f1a2c74

220102012020 has 96 divisors (see below), whose sum is σ = 672717790080. Its totient is φ = 53325826560.

The previous prime is 220102012007. The next prime is 220102012063. The reversal of 220102012020 is 20210201022.

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 = 220102011987 and 220102012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001634 + ... + 1201446.

It is an arithmetic number, because the mean of its divisors is an integer number (7007476980).

Almost surely, 2220102012020 is an apocalyptic number.

220102012020 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 220102012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336358895040).

220102012020 is an abundant number, since it is smaller than the sum of its proper divisors (452615778060).

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

220102012020 is a wasteful number, since it uses less digits than its factorization.

220102012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201505 (or 201503 counting only the distinct ones).

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

Adding to 220102012020 its reverse (20210201022), we get a palindrome (240312213042).

The spelling of 220102012020 in words is "two hundred twenty billion, one hundred two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1669 3338 5007 6676 8345 10014 16690 18359 20028 25035 33380 36718 50070 55077 73436 91795 100140 110154 183590 199813 220308 275385 367180 399626 550770 599439 799252 999065 1101540 1198878 1998130 2197943 2397756 2997195 3996260 4395886 5994390 6593829 8791772 10989715 11988780 13187658 21979430 26375316 32969145 43958860 65938290 131876580 333487897 666975794 1000463691 1333951588 1667439485 2000927382 3334878970 3668366867 4001854764 5002318455 6669757940 7336733734 10004636910 11005100601 14673467468 18341834335 20009273820 22010201202 36683668670 44020402404 55025503005 73367337340 110051006010 220102012020