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200210220121100 = 225273718014292129
BaseRepresentation
bin101101100001011100010011…
…000011001111110000001100
3222020212220120110212200120112
4231201130103003033300030
5202220221012322333400
61545451145544135152
760112465616003120
oct5541342303176014
9866786513780515
10200210220121100
115887a74a874822
121a5560b97674b8
138793986a79097
1437623251a7580
151822dd98a2835
hexb617130cfc0c

200210220121100 has 144 divisors (see below), whose sum is σ = 510224103775680. Its totient is φ = 66751174656000.

The previous prime is 200210220121081. The next prime is 200210220121111. The reversal of 200210220121100 is 1121022012002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44499836 + ... + 48791964.

Almost surely, 2200210220121100 is an apocalyptic number.

200210220121100 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 200210220121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255112051887840).

200210220121100 is an abundant number, since it is smaller than the sum of its proper divisors (310013883654580).

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

200210220121100 is a wasteful number, since it uses less digits than its factorization.

200210220121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293988 (or 4293981 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200210220121100 its reverse (1121022012002), we get a palindrome (201331242133102).

The spelling of 200210220121100 in words is "two hundred trillion, two hundred ten billion, two hundred twenty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1801 1850 2590 3602 3700 5180 6475 7204 9005 12607 12950 18010 25214 25900 36020 45025 50428 63035 66637 90050 126070 133274 180100 252140 266548 315175 333185 466459 630350 666370 932918 1260700 1332740 1665925 1865836 2332295 3331850 4292129 4664590 6663700 8584258 9329180 11661475 17168516 21460645 23322950 30044903 42921290 46645900 60089806 85842580 107303225 120179612 150224515 158808773 214606450 300449030 317617546 429212900 600898060 635235092 751122575 794043865 1111661411 1502245150 1588087730 2223322822 3004490300 3176175460 3970219325 4446645644 5558307055 7730124329 7940438650 11116614110 15460248658 15880877300 22233228220 27791535275 30920497316 38650621645 54110870303 55583070550 77301243290 108221740606 111166141100 154602486580 193253108225 216443481212 270554351515 286014600173 386506216450 541108703030 572029200346 773012432900 1082217406060 1144058400692 1352771757575 1430073000865 2002102201211 2705543515150 2860146001730 4004204402422 5411087030300 5720292003460 7150365004325 8008408804844 10010511006055 14300730008650 20021022012110 28601460017300 40042044024220 50052555030275 100105110060550 200210220121100