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221133321032 = 231310009212437
BaseRepresentation
bin1100110111110010010…
…0101011001101001000
3210010210011100121221012
43031330210223031020
512110340112233112
6245330502303052
721655614133601
oct3157444531510
9703704317835
10221133321032
1185866aa4078
1236a35127a88
1317b11743270
14a9baadada8
155b43959022
hex337c92b348

221133321032 has 32 divisors (see below), whose sum is σ = 446565919800. Its totient is φ = 102050855424.

The previous prime is 221133320981. The next prime is 221133321119. The reversal of 221133321032 is 230123331122.

221133321032 is digitally balanced in base 2, 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 4 ways, for example, as 217553213476 + 3580107556 = 466426^2 + 59834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221133320989 and 221133321007.

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 7 ways as a sum of consecutive naturals, for example, 934718 + ... + 1147154.

Almost surely, 2221133321032 is an apocalyptic number.

It is an amenable number.

221133321032 is an abundant number, since it is smaller than the sum of its proper divisors (225432598768).

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

221133321032 is a wasteful number, since it uses less digits than its factorization.

221133321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222465 (or 222461 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 221133321032 its reverse (230123331122), we get a palindrome (451256652154).

The spelling of 221133321032 in words is "two hundred twenty-one billion, one hundred thirty-three million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 10009 20018 40036 80072 130117 212437 260234 424874 520468 849748 1040936 1699496 2761681 5523362 11046724 22093448 2126281933 4252563866 8505127732 17010255464 27641665129 55283330258 110566660516 221133321032