Search a number
-
+
201000020012200 = 23524618963243227
BaseRepresentation
bin101101101100111011110110…
…110010101110110010101000
3222100200102011222201012122001
4231230323312302232302220
5202321141020110342300
61551254045012540344
760223525605213253
oct5554736662566250
9870612158635561
10201000020012200
11590546a2267752
121a6631980216b4
1388202b3743556
14378c64a99a09a
15183871245a16a
hexb6cef6caeca8

201000020012200 has 96 divisors (see below), whose sum is σ = 468392944995360. Its totient is φ = 80216323961600.

The previous prime is 201000020012191. The next prime is 201000020012369. The reversal of 201000020012200 is 2210020000102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826266987 + ... + 826510213.

It is an arithmetic number, because the mean of its divisors is an integer number (4879093177035).

Almost surely, 2201000020012200 is an apocalyptic number.

201000020012200 is a gapful number since it is divisible by the number (20) 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 201000020012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234196472497680).

201000020012200 is an abundant number, since it is smaller than the sum of its proper divisors (267392924983160).

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

201000020012200 is a wasteful number, since it uses less digits than its factorization.

201000020012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252667 (or 252658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201000020012200 its reverse (2210020000102), we get a palindrome (203210040012302).

The spelling of 201000020012200 in words is "two hundred one trillion, twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 461 922 1844 2305 3688 4610 8963 9220 11525 17926 18440 23050 35852 44815 46100 71704 89630 92200 179260 224075 243227 358520 448150 486454 896300 972908 1216135 1792600 1945816 2432270 4131943 4864540 6080675 8263886 9729080 12161350 16527772 20659715 24322700 33055544 41319430 48645400 82638860 103298575 112127647 165277720 206597150 224255294 413194300 448510588 560638235 826388600 897021176 1121276470 2180043601 2242552940 2803191175 4360087202 4485105880 5606382350 8720174404 10900218005 11212764700 17440348808 21800436010 22425529400 43600872020 54501090025 87201744040 109002180050 218004360100 436008720200 1005000100061 2010000200122 4020000400244 5025000500305 8040000800488 10050001000610 20100002001220 25125002501525 40200004002440 50250005003050 100500010006100 201000020012200