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200120002002200 = 235271197971193209
BaseRepresentation
bin101101100000001000010001…
…101000011011110100011000
3222020120021201000120101120102
4231200020101220123310120
5202212231231003032300
61545341505412514532
760103123130436320
oct5540102150336430
9866507630511512
10200120002002200
1158845464015785
121a54071b91ba48
1387883099c7687
14375bc0732c280
1518208a92dd0d5
hexb60211a1bd18

200120002002200 has 96 divisors (see below), whose sum is σ = 531752318277600. Its totient is φ = 68611941872640.

The previous prime is 200120002002139. The next prime is 200120002002223. The reversal of 200120002002200 is 2200200021002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167119196 + ... + 168312404.

It is an arithmetic number, because the mean of its divisors is an integer number (5539086648725).

Almost surely, 2200120002002200 is an apocalyptic number.

200120002002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200120002002200 is an abundant number, since it is smaller than the sum of its proper divisors (331632316275400).

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

200120002002200 is a wasteful number, since it uses less digits than its factorization.

200120002002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313029 (or 1313020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 200120002002200 its reverse (2200200021002), we get a palindrome (202320202023202).

The spelling of 200120002002200 in words is "two hundred trillion, one hundred twenty billion, two million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 119797 239594 479188 598985 838579 958376 1193209 1197970 1677158 2386418 2395940 2994925 3354316 4192895 4772836 4791880 5966045 5989850 6708632 8352463 8385790 9545672 11932090 11979700 16704926 16771580 20964475 23864180 23959400 29830225 33409852 33543160 41762315 41928950 47728360 59660450 66819704 83524630 83857900 119320900 167049260 167715800 208811575 238641800 334098520 417623150 835246300 1670492600 142942858573 285885717146 571771434292 714714292865 1000600010011 1143542868584 1429428585730 2001200020022 2858857171460 3573571464325 4002400040044 5003000050055 5717714342920 7147142928650 8004800080088 10006000100110 14294285857300 20012000200220 25015000250275 28588571714600 40024000400440 50030000500550 100060001001100 200120002002200