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210233020000 = 255443244457
BaseRepresentation
bin1100001111001011011…
…1010100111001100000
3202002122111111221222011
43003302313110321200
511421024123120000
6240325115122304
721121525120363
oct3036267247140
9662574457864
10210233020000
1181183071623
12348b2743394
1316a953853b3
14a2651800da
155706a102ba
hex30f2dd4e60

210233020000 has 120 divisors (see below), whose sum is σ = 529234946856. Its totient is φ = 82137216000.

The previous prime is 210233019989. The next prime is 210233020091. The reversal of 210233020000 is 20332012.

It is a happy number.

210233020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2102330200003 (a number of 35 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 737772 + ... + 982228.

Almost surely, 2210233020000 is an apocalyptic number.

210233020000 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 210233020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264617473428).

210233020000 is an abundant number, since it is smaller than the sum of its proper divisors (319001926856).

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

210233020000 is an equidigital number, since it uses as much as digits as its factorization.

210233020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244530 (or 244507 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 210233020000 its reverse (20332012), we get a palindrome (210253352012).

The spelling of 210233020000 in words is "two hundred ten billion, two hundred thirty-three million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2500 3440 4000 4300 5000 5375 6880 8600 10000 10750 17200 20000 21500 26875 34400 43000 53750 86000 107500 172000 215000 244457 430000 488914 860000 977828 1222285 1955656 2444570 3911312 4889140 6111425 7822624 9778280 10511651 12222850 19556560 21023302 24445700 30557125 39113120 42046604 48891400 52558255 61114250 84093208 97782800 105116510 122228500 152785625 168186416 195565600 210233020 244457000 262791275 305571250 336372832 420466040 488914000 525582550 611142500 840932080 977828000 1051165100 1222285000 1313956375 1681864160 2102330200 2444570000 2627912750 4204660400 4889140000 5255825500 6569781875 8409320800 10511651000 13139563750 21023302000 26279127500 42046604000 52558255000 105116510000 210233020000