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203321022120 = 2332523374116187
BaseRepresentation
bin1011110101011011100…
…0001001011010101000
3201102210210101002101200
42331112320021122220
511312400140201440
6233223203044200
720455325113146
oct2752670113250
9642723332350
10203321022120
1179256464287
12334a3970660
1316233381c18
149bab1b0596
15544eccac30
hex2f56e096a8

203321022120 has 384 divisors, whose sum is σ = 725476227840. Its totient is φ = 49226158080.

The previous prime is 203321022061. The next prime is 203321022137. The reversal of 203321022120 is 21220123302.

203321022120 is a `hidden beast` number, since 20 + 332 + 102 + 212 + 0 = 666.

203321022120 is digitally balanced in base 2, 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 = 203321022093 and 203321022102.

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, 12552667 + ... + 12568853.

It is an arithmetic number, because the mean of its divisors is an integer number (1889261010).

Almost surely, 2203321022120 is an apocalyptic number.

203321022120 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 203321022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362738113920).

203321022120 is an abundant number, since it is smaller than the sum of its proper divisors (522155205720).

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

203321022120 is a wasteful number, since it uses less digits than its factorization.

203321022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16305 (or 16298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203321022120 its reverse (21220123302), we get a palindrome (224541145422).

The spelling of 203321022120 in words is "two hundred three billion, three hundred twenty-one million, twenty-two thousand, one hundred twenty".