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221130332123233 = 13414358193165799
BaseRepresentation
bin110010010001110111101010…
…111001010011000001100001
31001222221212001001101211202111
4302101313222321103001201
5212440444410010420413
62102145512215515321
764402065526013221
oct6221675271230141
91058855031354674
10221130332123233
116450593569a515
1220974658988b41
13965066847a2a0
143c86a9d92a081
151a87192756d3d
hexc91deae53061

221130332123233 has 32 divisors (see below), whose sum is σ = 249627678854400. Its totient is φ = 194506043074560.

The previous prime is 221130332123209. The next prime is 221130332123237. The reversal of 221130332123233 is 332321233031122.

It is a cyclic number.

It is not a de Polignac number, because 221130332123233 - 217 = 221130331992161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221130332123195 and 221130332123204.

It is not an unprimeable number, because it can be changed into a prime (221130332123237) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1333642468 + ... + 1333808266.

It is an arithmetic number, because the mean of its divisors is an integer number (7800864964200).

Almost surely, 2221130332123233 is an apocalyptic number.

It is an amenable number.

221130332123233 is a deficient number, since it is larger than the sum of its proper divisors (28497346731167).

221130332123233 is a wasteful number, since it uses less digits than its factorization.

221130332123233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224089.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 221130332123233 its reverse (332321233031122), we get a palindrome (553451565154355).

The spelling of 221130332123233 in words is "two hundred twenty-one trillion, one hundred thirty billion, three hundred thirty-two million, one hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 13 41 43 533 559 1763 22919 58193 165799 756509 2155387 2385913 2502299 6797759 7129357 31016869 32529887 88370867 92681641 102594259 292303637 1333725367 3799947281 9648341207 125428435691 395581989487 414878671901 5142565863331 5393422734713 17010025547941 221130332123233