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203424100000 = 2555111011831
BaseRepresentation
bin1011110101110100000…
…1010110111010100000
3201110001222022222122221
42331131001112322200
511313103032200000
6233241324240424
720461016214562
oct2753501267240
9643058288587
10203424100000
11792a9668210
12335123a0114
131624b832654
149bbab63332
155458d8c61a
hex2f5d056ea0

203424100000 has 288 divisors, whose sum is σ = 551797432704. Its totient is φ = 73200000000.

The previous prime is 203424099997. The next prime is 203424100003. The reversal of 203424100000 is 1424302.

203424100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203424099997) and next prime (203424100003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (203424100003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 111099085 + ... + 111100915.

It is an arithmetic number, because the mean of its divisors is an integer number (1915963308).

Almost surely, 2203424100000 is an apocalyptic number.

203424100000 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 203424100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275898716352).

203424100000 is an abundant number, since it is smaller than the sum of its proper divisors (348373332704).

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

203424100000 is a wasteful number, since it uses less digits than its factorization.

203424100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 203424100000 its reverse (1424302), we get a palindrome (203425524302).

The spelling of 203424100000 in words is "two hundred three billion, four hundred twenty-four million, one hundred thousand".