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211410141300 = 223252234900157
BaseRepresentation
bin1100010011100100000…
…1101100000001110100
3202012200112110220211100
43010321001230001310
511430431444010200
6241042005010100
721162640360041
oct3047101540164
9665615426740
10211410141300
1181727571246
1234b809b3930
1316c221c9087
14a3376361c8
15577502bd00
hex313906c074

211410141300 has 54 divisors (see below), whose sum is σ = 662653345718. Its totient is φ = 56376037440.

The previous prime is 211410141289. The next prime is 211410141307. The reversal of 211410141300 is 3141014112.

211410141300 is a `hidden beast` number, since 211 + 4 + 10 + 141 + 300 = 666.

211410141300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 100761444 + 211309379856 = 10038^2 + 459684^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211410141307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117449179 + ... + 117450978.

Almost surely, 2211410141300 is an apocalyptic number.

211410141300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211410141300 is an abundant number, since it is smaller than the sum of its proper divisors (451243204418).

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

211410141300 is a wasteful number, since it uses less digits than its factorization.

211410141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234900177 (or 234900167 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211410141300 its reverse (3141014112), we get a palindrome (214551155412).

The spelling of 211410141300 in words is "two hundred eleven billion, four hundred ten million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 234900157 469800314 704700471 939600628 1174500785 1409400942 2114101413 2349001570 2818801884 3523502355 4228202826 4698003140 5872503925 7047004710 8456405652 10570507065 11745007850 14094009420 17617511775 21141014130 23490015700 35235023550 42282028260 52852535325 70470047100 105705070650 211410141300