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203424421200 = 2435272111321861
BaseRepresentation
bin1011110101110100001…
…0100101010101010000
3201110001222221022021020
42331131002211111100
511313103122434300
6233241335155440
720461022023200
oct2753502452520
9643058838236
10203424421200
11792a9867570
1233512515b80
131624b915900
149bbac08400
155458e028a0
hex2f5d0a5550

203424421200 has 1080 divisors, whose sum is σ = 895922094816. Its totient is φ = 38997504000.

The previous prime is 203424421183. The next prime is 203424421201. The reversal of 203424421200 is 2124424302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203424421201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 109308270 + ... + 109310130.

Almost surely, 2203424421200 is an apocalyptic number.

203424421200 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 203424421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447961047408).

203424421200 is an abundant number, since it is smaller than the sum of its proper divisors (692497673616).

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

203424421200 is a wasteful number, since it uses less digits than its factorization.

203424421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 203424421200 its reverse (2124424302), we get a palindrome (205548845502).

The spelling of 203424421200 in words is "two hundred three billion, four hundred twenty-four million, four hundred twenty-one thousand, two hundred".