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210024042300 = 2232522389114001
BaseRepresentation
bin1100001110011001101…
…0001000111100111100
3202002002221021210110100
43003212122020330330
511420112123323200
6240252252041100
721113406622062
oct3034632107474
9662087253410
10210024042300
1181086107586
1234854763190
1316a60ca6957
14a245502032
1556e34d0d00
hex30e6688f3c

210024042300 has 216 divisors, whose sum is σ = 694655226720. Its totient is φ = 52968960000.

The previous prime is 210024042271. The next prime is 210024042311. The reversal of 210024042300 is 3240420012.

210024042300 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 240 + 423 + 0 + 0 = 666.

210024042300 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-2 number, since 2×2100240423002 (a number of 23 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 1785300 + ... + 1899300.

It is an arithmetic number, because the mean of its divisors is an integer number (3215996420).

Almost surely, 2210024042300 is an apocalyptic number.

210024042300 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 210024042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347327613360).

210024042300 is an abundant number, since it is smaller than the sum of its proper divisors (484631184420).

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

210024042300 is a wasteful number, since it uses less digits than its factorization.

210024042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114133 (or 114123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 210024042300 its reverse (3240420012), we get a palindrome (213264462312).

The spelling of 210024042300 in words is "two hundred ten billion, twenty-four million, forty-two thousand, three hundred".