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203321311120 = 2457334815293
BaseRepresentation
bin1011110101011011100…
…1001111111110010000
3201102210210220202211101
42331112321033332100
511312400223423440
6233223213154144
720455330425544
oct2752671177620
9642723822741
10203321311120
1179256641424
12334a3a8b954
1316233453625
149bab247a24
15544ed3669a
hex2f56e4ff90

203321311120 has 40 divisors (see below), whose sum is σ = 479197706616. Its totient is φ = 80214432768.

The previous prime is 203321311111. The next prime is 203321311187. The reversal of 203321311120 is 21113123302.

It can be written as a sum of positive squares in 4 ways, for example, as 13856114944 + 189465196176 = 117712^2 + 435276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 17401807 + ... + 17413486.

Almost surely, 2203321311120 is an apocalyptic number.

203321311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203321311120 is an abundant number, since it is smaller than the sum of its proper divisors (275876395496).

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

203321311120 is a wasteful number, since it uses less digits than its factorization.

203321311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34815379 (or 34815373 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 203321311120 its reverse (21113123302), we get a palindrome (224434434422).

The spelling of 203321311120 in words is "two hundred three billion, three hundred twenty-one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 34815293 69630586 139261172 174076465 278522344 348152930 557044688 696305860 1392611720 2541516389 2785223440 5083032778 10166065556 12707581945 20332131112 25415163890 40664262224 50830327780 101660655560 203321311120