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10210210221000 = 2335310333294679
BaseRepresentation
bin1001010010010011111111…
…1101000000101111001000
31100011002100002211220110010
42110210333331000233020
52314241002304033000
633414301131351520
72102443345630416
oct224447775005710
940132302756403
1010210210221000
113287142543399
12118a9828b25a0
13590a8488a48a
142742692562b6
1512a8ce94cd50
hex9493ff40bc8

10210210221000 has 128 divisors (see below), whose sum is σ = 31886703763200. Its totient is φ = 2720086156800.

The previous prime is 10210210220957. The next prime is 10210210221011. The reversal of 10210210221000 is 12201201201.

10210210221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1451661 + ... + 4746339.

It is an arithmetic number, because the mean of its divisors is an integer number (249114873150).

Almost surely, 210210210221000 is an apocalyptic number.

10210210221000 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 10210210221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943351881600).

10210210221000 is an abundant number, since it is smaller than the sum of its proper divisors (21676493542200).

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

10210210221000 is a wasteful number, since it uses less digits than its factorization.

10210210221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295736 (or 3295722 counting only the distinct ones).

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

Adding to 10210210221000 its reverse (12201201201), we get a palindrome (10222411422201).

The spelling of 10210210221000 in words is "ten trillion, two hundred ten billion, two hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1033 1500 2066 3000 3099 4132 5165 6198 8264 10330 12396 15495 20660 24792 25825 30990 41320 51650 61980 77475 103300 123960 129125 154950 206600 258250 309900 387375 516500 619800 774750 1033000 1549500 3099000 3294679 6589358 9884037 13178716 16473395 19768074 26357432 32946790 39536148 49420185 65893580 79072296 82366975 98840370 131787160 164733950 197680740 247100925 329467900 395361480 411834875 494201850 658935800 823669750 988403700 1235504625 1647339500 1976807400 2471009250 3294679000 3403403407 4942018500 6806806814 9884037000 10210210221 13613613628 17017017035 20420420442 27227227256 34034034070 40840840884 51051051105 68068068140 81681681768 85085085175 102102102210 136136136280 170170170350 204204204420 255255255525 340340340700 408408408840 425425425875 510510511050 680680681400 850850851750 1021021022100 1276276277625 1701701703500 2042042044200 2552552555250 3403403407000 5105105110500 10210210221000