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203221311012 = 223255609101513
BaseRepresentation
bin1011110101000011101…
…1110001111000100100
3201102112211202020110200
42331100323301320210
511312144123423022
6233205241550500
720453004433206
oct2752073617044
9642484666420
10203221311012
117920514a905
12334764a5430
131621880ca75
149b9bc56776
155446181bac
hex2f50ef1e24

203221311012 has 36 divisors (see below), whose sum is σ = 513712612140. Its totient is φ = 67738551552.

The previous prime is 203221310959. The next prime is 203221311019. The reversal of 203221311012 is 210113122302.

203221311012 is a `hidden beast` number, since 20 + 322 + 1 + 311 + 0 + 12 = 666.

203221311012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131816920356 + 71404390656 = 363066^2 + 267216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (203221311019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1951168 + ... + 2052680.

Almost surely, 2203221311012 is an apocalyptic number.

It is an amenable number.

203221311012 is an abundant number, since it is smaller than the sum of its proper divisors (310491301128).

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

203221311012 is a wasteful number, since it uses less digits than its factorization.

203221311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157132 (or 157127 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 203221311012 its reverse (210113122302), we get a palindrome (413334433314).

The spelling of 203221311012 in words is "two hundred three billion, two hundred twenty-one million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 55609 101513 111218 166827 203026 222436 304539 333654 406052 500481 609078 667308 913617 1000962 1218156 1827234 2001924 3654468 5645036417 11290072834 16935109251 22580145668 33870218502 50805327753 67740437004 101610655506 203221311012