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203313201120 = 253658321001
BaseRepresentation
bin1011110101011001101…
…0010011111111100000
3201102210020122202000000
42331112122103333200
511312341134413440
6233222323300000
720455201460331
oct2752632237740
9642706582000
10203313201120
1179252002247
12334a121a600
1316231874103
149baa136288
15544e283730
hex2f56693fe0

203313201120 has 336 divisors, whose sum is σ = 728873065872. Its totient is φ = 53561088000.

The previous prime is 203313201109. The next prime is 203313201149. The reversal of 203313201120 is 21102313302.

203313201120 is a `hidden beast` number, since 2 + 0 + 331 + 320 + 1 + 12 + 0 = 666.

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 = 203313201093 and 203313201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9670620 + ... + 9691620.

It is an arithmetic number, because the mean of its divisors is an integer number (2169265077).

Almost surely, 2203313201120 is an apocalyptic number.

203313201120 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 203313201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364436532936).

203313201120 is an abundant number, since it is smaller than the sum of its proper divisors (525559864752).

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

203313201120 is an equidigital number, since it uses as much as digits as its factorization.

203313201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21117 (or 21094 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203313201120 its reverse (21102313302), we get a palindrome (224415514422).

The spelling of 203313201120 in words is "two hundred three billion, three hundred thirteen million, two hundred one thousand, one hundred twenty".