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20100001112202 = 231110123324735233
BaseRepresentation
bin1001001000111111001010…
…11011010010000010001010
32122011112121122012100120010
410210133211123102002022
510113304300241042302
6110425451341012350
74143114523321644
oct444374533220212
978145548170503
1020100001112202
11644a3a9692810
1223076218540b6
13b2a5640c278b
144d6bb94cb894
1524cca924016c
hex1247e56d208a

20100001112202 has 128 divisors (see below), whose sum is σ = 44505320700672. Its totient is φ = 6001145856000.

The previous prime is 20100001112173. The next prime is 20100001112221. The reversal of 20100001112202 is 20221110000102.

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, 3841006578 + ... + 3841011810.

It is an arithmetic number, because the mean of its divisors is an integer number (347697817974).

Almost surely, 220100001112202 is an apocalyptic number.

20100001112202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100001112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22252660350336).

20100001112202 is an abundant number, since it is smaller than the sum of its proper divisors (24405319588470).

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

20100001112202 is a wasteful number, since it uses less digits than its factorization.

20100001112202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8056.

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

Adding to 20100001112202 its reverse (20221110000102), we get a palindrome (40321111112304).

The spelling of 20100001112202 in words is "twenty trillion, one hundred billion, one million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 233 303 466 606 699 1111 1398 2222 2473 2563 3333 4946 5126 5233 6666 7419 7689 10466 14838 15378 15699 23533 27203 31398 47066 54406 57563 70599 81609 115126 141198 163218 172689 249773 258863 345378 499546 517726 528533 576209 749319 776589 1057066 1152418 1219289 1498638 1553178 1585599 1728627 2438578 2747503 3171198 3457254 3657867 5495006 5813863 6338299 7315734 8242509 11627726 12676598 12941209 13412179 16485018 17441589 19014897 25882418 26824358 34883178 38029794 38823627 40236537 58197109 77647254 80473074 116394218 123148189 142353299 174591327 246296378 284706598 349182654 369444567 427059897 640168199 738889134 854119794 1280336398 1307062109 1354630079 1920504597 2614124218 2709260158 3015301697 3841009194 3921186327 4063890237 6030603394 7842372654 8127780474 9045905091 14377683199 18091810182 28755366398 33168318667 43133049597 66336637334 86266099194 99504956001 199009912002 304545471397 609090942794 913636414191 1827272828382 3350000185367 6700000370734 10050000556101 20100001112202