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200211200100120 = 233511211718839581
BaseRepresentation
bin101101100001011101001101…
…011101100100011100011000
3222020220000002202212210001210
4231201131031131210130120
5202220230014211200440
61545451431112343120
760112532115456606
oct5541351535443430
9866800082783053
10200211200100120
1158880102a63540
121a5563319a4aa0
138793ab1ac6421
1437623b93c2876
151822e4592ba80
hexb6174d764718

200211200100120 has 128 divisors (see below), whose sum is σ = 658342042778880. Its totient is φ = 48306019776000.

The previous prime is 200211200100113. The next prime is 200211200100127. The reversal of 200211200100120 is 21001002112002.

200211200100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200211200100113) and next prime (200211200100127).

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 = 200211200100096 and 200211200100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211200100127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359141271 + ... + 359698310.

It is an arithmetic number, because the mean of its divisors is an integer number (5143297209210).

Almost surely, 2200211200100120 is an apocalyptic number.

200211200100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211200100120 is an abundant number, since it is smaller than the sum of its proper divisors (458130842678760).

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

200211200100120 is a wasteful number, since it uses less digits than its factorization.

200211200100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718839817 (or 718839813 counting only the distinct ones).

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

Adding to 200211200100120 its reverse (21001002112002), we get a palindrome (221212202212122).

The spelling of 200211200100120 in words is "two hundred trillion, two hundred eleven billion, two hundred million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 211 220 264 330 422 440 633 660 844 1055 1266 1320 1688 2110 2321 2532 3165 4220 4642 5064 6330 6963 8440 9284 11605 12660 13926 18568 23210 25320 27852 34815 46420 55704 69630 92840 139260 278520 718839581 1437679162 2156518743 2875358324 3594197905 4313037486 5750716648 7188395810 7907235391 8626074972 10782593715 14376791620 15814470782 17252149944 21565187430 23721706173 28753583240 31628941564 39536176955 43130374860 47443412346 63257883128 79072353910 86260749720 94886824692 118608530865 151675151591 158144707820 189773649384 237217061730 303350303182 316289415640 455025454773 474434123460 606700606364 758375757955 910050909546 948868246920 1213401212728 1516751515910 1668426667501 1820101819092 2275127273865 3033503031820 3336853335002 3640203638184 4550254547730 5005280002503 6067006063640 6673706670004 8342133337505 9100509095460 10010560005006 13347413340008 16684266675010 18201018190920 20021120010012 25026400012515 33368533350020 40042240020024 50052800025030 66737066700040 100105600050060 200211200100120