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210300100000 = 25554348907
BaseRepresentation
bin1100001111011011011…
…1001101110110100000
3202002211011201222102121
43003312313031312200
511421143311200000
6240335512554024
721123301233034
oct3036667156640
9662734658377
10210300100000
1181207a18841
12349110b2914
1316aa6240ac3
14a2700421c4
15570c860b1a
hex30f6dcdda0

210300100000 has 144 divisors (see below), whose sum is σ = 529548044256. Its totient is φ = 82162080000.

The previous prime is 210300099991. The next prime is 210300100001. The reversal of 210300100000 is 1003012.

It is a super-2 number, since 2×2103001000002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210300100001) 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, 4275547 + ... + 4324453.

It is an arithmetic number, because the mean of its divisors is an integer number (3677416974).

Almost surely, 2210300100000 is an apocalyptic number.

210300100000 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 210300100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264774022128).

210300100000 is an abundant number, since it is smaller than the sum of its proper divisors (319247944256).

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

210300100000 is an frugal number, since it uses more digits than its factorization.

210300100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48985 (or 48957 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 210300100000 its reverse (1003012), we get a palindrome (210301103012).

The spelling of 210300100000 in words is "two hundred ten billion, three hundred million, one hundred 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 3125 3440 4000 4300 5000 5375 6250 6880 8600 10000 10750 12500 17200 20000 21500 25000 26875 34400 43000 48907 50000 53750 86000 97814 100000 107500 134375 172000 195628 215000 244535 268750 391256 430000 489070 537500 782512 860000 978140 1075000 1222675 1565024 1956280 2103001 2150000 2445350 3912560 4206002 4300000 4890700 6113375 7825120 8412004 9781400 10515005 12226750 16824008 19562800 21030010 24453500 30566875 33648016 39125600 42060020 48907000 52575025 61133750 67296032 84120040 97814000 105150050 122267500 152834375 168240080 195628000 210300100 244535000 262875125 305668750 336480160 420600200 489070000 525750250 611337500 841200400 978140000 1051500500 1222675000 1314375625 1682400800 2103001000 2445350000 2628751250 4206002000 4890700000 5257502500 6571878125 8412004000 10515005000 13143756250 21030010000 26287512500 42060020000 52575025000 105150050000 210300100000