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10010101002020 = 22572631229221209
BaseRepresentation
bin1001000110101010100010…
…0000111010111100100100
31022102221211011001022200022
42101222220200322330210
52303001141324031040
633142324340334312
72052130430423630
oct221525040727444
938387734038608
1010010101002020
11320a295064379
1211580366a4398
13577c43a4a5b2
142686c4863dc0
151255bbb026b5
hex91aa883af24

10010101002020 has 96 divisors (see below), whose sum is σ = 24135320563200. Its totient is φ = 3416187700224.

The previous prime is 10010101001987. The next prime is 10010101002061. The reversal of 10010101002020 is 2020010101001.

It is a junction number, because it is equal to n+sod(n) for n = 10010101001989 and 10010101002007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45141176 + ... + 45362384.

It is an arithmetic number, because the mean of its divisors is an integer number (251409589200).

Almost surely, 210010101002020 is an apocalyptic number.

10010101002020 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 10010101002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067660281600).

10010101002020 is an abundant number, since it is smaller than the sum of its proper divisors (14125219561180).

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

10010101002020 is a wasteful number, since it uses less digits than its factorization.

10010101002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222717 (or 222715 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010101002020 its reverse (2020010101001), we get a palindrome (12030111103021).

The spelling of 10010101002020 in words is "ten trillion, ten billion, one hundred one million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1052 1229 1315 1841 2458 2630 3682 4916 5260 6145 7364 8603 9205 12290 17206 18410 24580 34412 36820 43015 86030 172060 221209 323227 442418 646454 884836 1106045 1292908 1548463 1616135 2212090 2262589 3096926 3232270 4424180 4525178 6193852 6464540 7742315 9050356 11312945 15484630 22625890 30969260 45251780 58177967 116355934 232711868 271865861 290889835 407245769 543731722 581779670 814491538 1087463444 1163559340 1359329305 1628983076 1903061027 2036228845 2718658610 3806122054 4072457690 5437317220 7612244108 8144915380 9515305135 19030610270 38061220540 71500721443 143001442886 286002885772 357503607215 500505050101 715007214430 1001010100202 1430014428860 2002020200404 2502525250505 5005050501010 10010101002020