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10020021110220 = 22351124349317353
BaseRepresentation
bin1001000111001111011111…
…0011001000010111001100
31022110220102111111000212010
42101303313303020113030
52303132000401011340
633151044550541220
72052631315103112
oct221636763102714
938426374430763
1010020021110220
113213515771500
121159b44967810
13578b650149c4
14268d8614bab2
1512599c97db80
hex91cf7cc85cc

10020021110220 has 144 divisors (see below), whose sum is σ = 30845666325600. Its totient is φ = 2428529832960.

The previous prime is 10020021110213. The next prime is 10020021110221. The reversal of 10020021110220 is 2201112002001.

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 = 10020021110196 and 10020021110205.

It is not an unprimeable number, because it can be changed into a prime (10020021110221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31415064 + ... + 31732416.

It is an arithmetic number, because the mean of its divisors is an integer number (214206016150).

Almost surely, 210020021110220 is an apocalyptic number.

10020021110220 is a gapful number since it is divisible by the number (10) 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 10020021110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422833162800).

10020021110220 is an abundant number, since it is smaller than the sum of its proper divisors (20825645215380).

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

10020021110220 is a wasteful number, since it uses less digits than its factorization.

10020021110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321736 (or 321723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020021110220 its reverse (2201112002001), we get a palindrome (12221133112221).

The spelling of 10020021110220 in words is "ten trillion, twenty billion, twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 4349 7260 8698 13047 17396 21745 26094 43490 47839 52188 65235 86980 95678 130470 143517 191356 239195 260940 287034 317353 478390 526229 574068 634706 717585 952059 956780 1052458 1269412 1435170 1578687 1586765 1904118 2104916 2631145 2870340 3157374 3173530 3490883 3808236 4760295 5262290 6314748 6347060 6981766 7893435 9520590 10472649 10524580 13963532 15786870 17454415 19041180 20945298 31573740 34908830 38399713 41890596 52363245 69817660 76799426 104726490 115199139 153598852 191998565 209452980 230398278 383997130 460796556 575995695 767994260 1151991390 1380168197 2303982780 2760336394 4140504591 5520672788 6900840985 8281009182 13801681970 15181850167 16562018364 20702522955 27603363940 30363700334 41405045910 45545550501 60727400668 75909250835 82810091820 91091101002 151818501670 167000351837 182182202004 227727752505 303637003340 334000703674 455455505010 501001055511 668001407348 835001759185 910911010020 1002002111022 1670003518370 2004004222044 2505005277555 3340007036740 5010010555110 10020021110220