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100022001120210 = 235133893433192047
BaseRepresentation
bin10110101111100000101111…
…110110001011001111010010
3111010011000021020022020101210
4112233200233312023033102
5101102230024241321320
6552421250055040550
730032231300444661
oct2657405766131722
9433130236266353
10100022001120210
1129963102078454
12b274b25970156
1343a705a29aa80
141a9b13aba4dd8
15b86c060700e0
hex5af82fd8b3d2

100022001120210 has 128 divisors (see below), whose sum is σ = 259259822115840. Its totient is φ = 24550226528256.

The previous prime is 100022001120169. The next prime is 100022001120221. The reversal of 100022001120210 is 12021100220001.

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, 520724407 + ... + 520916453.

It is an arithmetic number, because the mean of its divisors is an integer number (2025467360280).

Almost surely, 2100022001120210 is an apocalyptic number.

100022001120210 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 100022001120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129629911057920).

100022001120210 is an abundant number, since it is smaller than the sum of its proper divisors (159237820995630).

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

100022001120210 is a wasteful number, since it uses less digits than its factorization.

100022001120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195892.

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

Adding to 100022001120210 its reverse (12021100220001), we get a palindrome (112043101340211).

The spelling of 100022001120210 in words is "one hundred trillion, twenty-two billion, one million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 389 390 778 1167 1945 2334 3433 3890 5057 5835 6866 10114 10299 11670 15171 17165 20598 25285 30342 34330 44629 50570 51495 75855 89258 102990 133887 151710 192047 223145 267774 384094 446290 576141 669435 960235 1152282 1335437 1338870 1920470 2496611 2670874 2880705 4006311 4993222 5761410 6677185 7489833 8012622 12483055 13354370 14979666 17360681 20031555 24966110 34721362 37449165 40063110 52082043 74706283 74898330 86803405 104164086 149412566 173606810 224118849 260410215 373531415 448237698 520820430 659297351 747062830 971181679 1120594245 1318594702 1942363358 1977892053 2241188490 2913545037 3296486755 3955784106 4855908395 5827090074 6592973510 8570865563 9711816790 9889460265 14567725185 17141731126 19778920530 25712596689 29135450370 42854327815 51425193378 85708655630 128562983445 256466669539 257125966890 512933339078 769400008617 1282333347695 1538800017234 2564666695390 3334066704007 3847000043085 6668133408014 7694000086170 10002200112021 16670333520035 20004400224042 33340667040070 50011000560105 100022001120210