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100001122210010 = 257171673071639091
BaseRepresentation
bin10110101111001101010011…
…010111011101000011011010
3111010002000101010221201000102
4112233031103113131003122
5101101404244241210020
6552403514211335402
730030562013600450
oct2657152327350332
9433060333851012
10100001122210010
112995526851116a
12b270a795b1562
1343a50b07a1c38
141a9a119c929d0
15b863d3091475
hex5af3535dd0da

100001122210010 has 128 divisors (see below), whose sum is σ = 219835753353216. Its totient is φ = 31971538805760.

The previous prime is 100001122209997. The next prime is 100001122210021. The reversal of 100001122210010 is 10012221100001.

It is a super-2 number, since 2×1000011222100102 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001122209973 and 100001122210000.

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, 60190565 + ... + 61829655.

It is an arithmetic number, because the mean of its divisors is an integer number (1717466823072).

Almost surely, 2100001122210010 is an apocalyptic number.

100001122210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001122210010 is an abundant number, since it is smaller than the sum of its proper divisors (119834631143206).

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

100001122210010 is a wasteful number, since it uses less digits than its factorization.

100001122210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639596.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100001122210010 its reverse (10012221100001), we get a palindrome (110013343310011).

The spelling of 100001122210010 in words is "one hundred trillion, one billion, one hundred twenty-two million, two hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 167 170 238 307 334 595 614 835 1169 1190 1535 1670 2149 2338 2839 3070 4298 5219 5678 5845 10438 10745 11690 14195 19873 21490 26095 28390 36533 39746 51269 52190 73066 99365 102538 182665 198730 256345 358883 365330 512690 717766 871573 1639091 1743146 1794415 3278182 3588830 4357865 6101011 8195455 8715730 11473637 12202022 16390910 22947274 27864547 30505055 55729094 57368185 61010110 114736370 139322735 195051829 273728197 278645470 390103658 503200937 547456394 975259145 1006401874 1368640985 1916097379 1950518290 2516004685 2737281970 3522406559 3832194758 4653379349 5032009370 7044813118 8554415929 9306758698 9580486895 17108831858 17612032795 19160973790 23266896745 32573655443 35224065590 42772079645 46533793490 59880911503 65147310886 84034556479 85544159290 119761823006 162868277215 168069112958 299404557515 325736554430 420172782395 588241895353 598809115030 840345564790 1176483790706 1428587460143 2857174920286 2941209476765 5882418953530 7142937300715 10000112221001 14285874601430 20000224442002 50000561105005 100001122210010