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203203136880 = 243252967145253
BaseRepresentation
bin1011110100111111011…
…0011100110101110000
3201102111120112220020200
42331033312130311300
511312130000340010
6233203352235200
720452364110332
oct2751766346560
9642446486220
10203203136880
11791a5967367
123347039bb00
1316214b18743
149b99685452
155444791cc0
hex2f4fd9cd70

203203136880 has 240 divisors, whose sum is σ = 716497310880. Its totient is φ = 51537733632.

The previous prime is 203203136861. The next prime is 203203136891. The reversal of 203203136880 is 88631302302.

203203136880 is a `hidden beast` number, since 203 + 2 + 0 + 313 + 68 + 80 = 666.

203203136880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2032031368802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1326334 + ... + 1471586.

It is an arithmetic number, because the mean of its divisors is an integer number (2985405462).

Almost surely, 2203203136880 is an apocalyptic number.

203203136880 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 203203136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358248655440).

203203136880 is an abundant number, since it is smaller than the sum of its proper divisors (513294174000).

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

203203136880 is a wasteful number, since it uses less digits than its factorization.

203203136880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145368 (or 145359 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 203203136880 in words is "two hundred three billion, two hundred three million, one hundred thirty-six thousand, eight hundred eighty".