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10010202002220 = 2235723792022449
BaseRepresentation
bin1001000110101010111010…
…0010001101001100101100
31022102222002012002122220110
42101222232202031030230
52303001343203032340
633142342345220020
72052133065053100
oct221525642151454
938388065078813
1010010202002220
11320a337079312
121158064491610
13577c5b951424
142686d4035900
151255c5903680
hex91aae88d32c

10010202002220 has 144 divisors (see below), whose sum is σ = 33485865285600. Its totient is φ = 2226207062016.

The previous prime is 10010202002209. The next prime is 10010202002231. The reversal of 10010202002220 is 2220020201001.

It is an interprime number because it is at equal distance from previous prime (10010202002209) and next prime (10010202002231).

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 = 10010202002196 and 10010202002205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45902445 + ... + 46120004.

It is an arithmetic number, because the mean of its divisors is an integer number (232540731150).

Almost surely, 210010202002220 is an apocalyptic number.

10010202002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010202002220 is an abundant number, since it is smaller than the sum of its proper divisors (23475663283380).

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

10010202002220 is a wasteful number, since it uses less digits than its factorization.

10010202002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92022512 (or 92022503 counting only the distinct ones).

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

Adding to 10010202002220 its reverse (2220020201001), we get a palindrome (12230222203221).

The spelling of 10010202002220 in words is "ten trillion, ten billion, two hundred two million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 49 60 70 74 84 98 105 111 140 147 148 185 196 210 222 245 259 294 370 420 444 490 518 555 588 735 740 777 980 1036 1110 1295 1470 1554 1813 2220 2590 2940 3108 3626 3885 5180 5439 7252 7770 9065 10878 15540 18130 21756 27195 36260 54390 108780 92022449 184044898 276067347 368089796 460112245 552134694 644157143 920224490 1104269388 1288314286 1380336735 1840448980 1932471429 2576628572 2760673470 3220785715 3404830613 3864942858 4509100001 5521346940 6441571430 6809661226 7729885716 9018200002 9662357145 10214491839 12883142860 13527300003 13619322452 17024153065 18036400004 19324714290 20428983678 22545500005 23833814291 27054600006 34048306130 38649428580 40857967356 45091000010 47667628582 51072459195 54109200012 67636500015 68096612260 71501442873 90182000020 95335257164 102144918390 119169071455 135273000030 143002885746 166836700037 204289836780 238338142910 270546000060 286005771492 333673400074 357507214365 476676285820 500510100111 667346800148 715014428730 834183500185 1001020200222 1430028857460 1668367000370 2002040400444 2502550500555 3336734000740 5005101001110 10010202002220