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10010212202010 = 23519371016346703
BaseRepresentation
bin1001000110101010111100…
…1001000111011000011010
31022102222002220021212101110
42101222233021013120122
52303001403310431020
633142343352001150
72052133250544066
oct221525711073032
938388086255343
1010010212202010
11320a341905599
1211580679901b6
13577c60ab2bc7
142686d552caa6
151255c676a8e0
hex91aaf24761a

10010212202010 has 128 divisors (see below), whose sum is σ = 25975554232320. Its totient is φ = 2460252393216.

The previous prime is 10010212202009. The next prime is 10010212202021. The reversal of 10010212202010 is 1020221201001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214314319 + ... + 214361021.

It is an arithmetic number, because the mean of its divisors is an integer number (202934017440).

Almost surely, 210010212202010 is an apocalyptic number.

10010212202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010212202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987777116160).

10010212202010 is an abundant number, since it is smaller than the sum of its proper divisors (15965342030310).

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

10010212202010 is a wasteful number, since it uses less digits than its factorization.

10010212202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56932.

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

Adding to 10010212202010 its reverse (1020221201001), we get a palindrome (11030433403011).

The spelling of 10010212202010 in words is "ten trillion, ten billion, two hundred twelve million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 3515 4218 7030 10163 10545 20326 21090 30489 46703 50815 60978 93406 101630 140109 152445 193097 233515 280218 304890 376031 386194 467030 579291 700545 752062 887357 965485 1128093 1158582 1401090 1728011 1774714 1880155 1930970 2256186 2662071 2896455 3456022 3760310 4436785 5184033 5324142 5640465 5792910 7144589 8640055 8873570 10368066 11280930 13310355 14289178 17280110 21433767 25920165 26620710 32832209 35722945 42867534 51840330 65664418 71445890 98496627 107168835 164161045 196993254 214337670 328322090 474642589 492483135 949285178 984966270 1423927767 2373212945 2847855534 4746425890 7119638835 9018209191 14239277670 17561775793 18036418382 27054627573 35123551586 45091045955 52685327379 54109255146 87808878965 90182091910 105370654758 135273137865 175617757930 263426636895 270546275730 333673740067 526853273790 667347480134 1001021220201 1668368700335 2002042440402 3336737400670 5005106101005 10010212202010