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203434120620 = 223351924125453
BaseRepresentation
bin1011110101110110011…
…1100101010110101100
3201110002200012002101000
42331131213211112230
511313113113324440
6233242323120300
720461200331323
oct2753547452654
9643080162330
10203434120620
1179304291915
1233515813090
1316250930703
149bbc2110ba
155459bbb730
hex2f5d9e55ac

203434120620 has 288 divisors, whose sum is σ = 684289045440. Its totient is φ = 50138403840.

The previous prime is 203434120577. The next prime is 203434120627. The reversal of 203434120620 is 26021434302.

203434120620 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 34 + 1 + 2 + 0 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (203434120627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7979814 + ... + 8005266.

It is an arithmetic number, because the mean of its divisors is an integer number (2376003630).

Almost surely, 2203434120620 is an apocalyptic number.

203434120620 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 203434120620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342144522720).

203434120620 is an abundant number, since it is smaller than the sum of its proper divisors (480854924820).

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

203434120620 is a wasteful number, since it uses less digits than its factorization.

203434120620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25550 (or 25523 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 203434120620 its reverse (26021434302), we get a palindrome (229455554922).

The spelling of 203434120620 in words is "two hundred three billion, four hundred thirty-four million, one hundred twenty thousand, six hundred twenty".