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213330100000 = 255519112279
BaseRepresentation
bin1100011010101101110…
…1101111111100100000
3202101122100012221000211
43012223131233330200
511443400001200000
6242000312223504
721261342634213
oct3065335577440
9671570187024
10213330100000
1182522309676
123541799ab94
1317169bca304
14a47a61777a
15583887d7ba
hex31ab76ff20

213330100000 has 144 divisors (see below), whose sum is σ = 552592756800. Its totient is φ = 80840160000.

The previous prime is 213330099991. The next prime is 213330100003. The reversal of 213330100000 is 1033312.

213330100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213330100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1843861 + ... + 1956139.

It is an arithmetic number, because the mean of its divisors is an integer number (3837449700).

Almost surely, 2213330100000 is an apocalyptic number.

213330100000 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 213330100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276296378400).

213330100000 is an abundant number, since it is smaller than the sum of its proper divisors (339262656800).

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

213330100000 is an equidigital number, since it uses as much as digits as its factorization.

213330100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112333 (or 112305 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 213330100000 its reverse (1033312), we get a palindrome (213331133312).

The spelling of 213330100000 in words is "two hundred thirteen billion, three hundred thirty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3125 3800 4000 4750 5000 6250 7600 9500 10000 11875 12500 15200 19000 20000 23750 25000 38000 47500 50000 59375 76000 95000 100000 112279 118750 190000 224558 237500 380000 449116 475000 561395 898232 950000 1122790 1796464 1900000 2133301 2245580 2806975 3592928 4266602 4491160 5613950 8533204 8982320 10666505 11227900 14034875 17066408 17964640 21333010 22455800 28069750 34132816 42666020 44911600 53332525 56139500 68265632 70174375 85332040 89823200 106665050 112279000 140348750 170664080 213330100 224558000 266662625 280697500 341328160 350871875 426660200 449116000 533325250 561395000 701743750 853320400 1066650500 1122790000 1333313125 1403487500 1706640800 2133301000 2245580000 2666626250 2806975000 4266602000 5333252500 5613950000 6666565625 8533204000 10666505000 11227900000 13333131250 21333010000 26666262500 42666020000 53332525000 106665050000 213330100000