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203011231101120 = 2632513371011450979
BaseRepresentation
bin101110001010001100111100…
…010100001011000011000000
3222121210200110202012101101200
4232022030330110023003000
5203102114000130213440
61555434023322301200
760522035362334631
oct5612147424130300
9877720422171350
10203011231101120
115975a641512582
121a928b2a657800
138937b5286c940
14381bb20387888
151870bc47c1c30
hexb8a33c50b0c0

203011231101120 has 672 divisors, whose sum is σ = 779958605200320. Its totient is φ = 48139967692800.

The previous prime is 203011231101031. The next prime is 203011231101167. The reversal of 203011231101120 is 21101132110302.

203011231101120 is a `hidden beast` number, since 2 + 0 + 301 + 1 + 231 + 10 + 1 + 120 = 666.

203011231101120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 203011231101093 and 203011231101102.

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 95 ways as a sum of consecutive naturals, for example, 139187791 + ... + 140638769.

It is an arithmetic number, because the mean of its divisors is an integer number (1160652686310).

Almost surely, 2203011231101120 is an apocalyptic number.

203011231101120 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 203011231101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389979302600160).

203011231101120 is an abundant number, since it is smaller than the sum of its proper divisors (576947374099200).

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

203011231101120 is a wasteful number, since it uses less digits than its factorization.

203011231101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451153 (or 1451140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 203011231101120 its reverse (21101132110302), we get a palindrome (224112363211422).

The spelling of 203011231101120 in words is "two hundred three trillion, eleven billion, two hundred thirty-one million, one hundred one thousand, one hundred twenty".