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221332313033 = 1321968929403
BaseRepresentation
bin1100111000100001101…
…1110001001111001001
3210011022000210110122022
43032020123301033021
512111242033004113
6245402331334225
721663551422316
oct3161033611711
9704260713568
10221332313033
1185959358777
1236a8b8b1375
1317b43a36800
14a9d92d9d0d
155b56164908
hex33886f13c9

221332313033 has 12 divisors (see below), whose sum is σ = 252281618640. Its totient is φ = 193553760816.

The previous prime is 221332313029. The next prime is 221332313143. The reversal of 221332313033 is 330313233122.

It is a happy number.

221332313033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221332313033 - 22 = 221332313029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221332312993 and 221332313011.

It is not an unprimeable number, because it can be changed into a prime (221332313533) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 34461491 + ... + 34467912.

It is an arithmetic number, because the mean of its divisors is an integer number (21023468220).

Almost surely, 2221332313033 is an apocalyptic number.

It is an amenable number.

221332313033 is a deficient number, since it is larger than the sum of its proper divisors (30949305607).

221332313033 is a wasteful number, since it uses less digits than its factorization.

221332313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68929448 (or 68929435 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 221332313033 its reverse (330313233122), we get a palindrome (551645546155).

The spelling of 221332313033 in words is "two hundred twenty-one billion, three hundred thirty-two million, three hundred thirteen thousand, thirty-three".

Divisors: 1 13 19 169 247 3211 68929403 896082239 1309658657 11649069107 17025562541 221332313033