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221331302040433 = 1368338453648259
BaseRepresentation
bin110010010100110010110101…
…101000101100001101110001
31002000200001202222202102112011
4302110302311220230031301
5213002243001310243213
62102422110234402521
764422441665066164
oct6224626550541561
91060601688672464
10221331302040433
11645830949a7882
12209a75a5290441
1396665b5702a60
143c926c6767adb
151a8c505e1903d
hexc94cb5a2c371

221331302040433 has 16 divisors (see below), whose sum is σ = 238712347823040. Its totient is φ = 204001067185344.

The previous prime is 221331302040337. The next prime is 221331302040467. The reversal of 221331302040433 is 334040203133122.

It is a happy number.

It is not a de Polignac number, because 221331302040433 - 213 = 221331302032241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221331302040395 and 221331302040404.

It is not an unprimeable number, because it can be changed into a prime (221331302041433) 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 15 ways as a sum of consecutive naturals, for example, 341100058 + ... + 341748316.

It is an arithmetic number, because the mean of its divisors is an integer number (14919521738940).

Almost surely, 2221331302040433 is an apocalyptic number.

It is an amenable number.

221331302040433 is a deficient number, since it is larger than the sum of its proper divisors (17381045782607).

221331302040433 is a wasteful number, since it uses less digits than its factorization.

221331302040433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687408.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 221331302040433 its reverse (334040203133122), we get a palindrome (555371505173555).

The spelling of 221331302040433 in words is "two hundred twenty-one trillion, three hundred thirty-one billion, three hundred two million, forty thousand, four hundred thirty-three".

Divisors: 1 13 683 8879 38453 499889 648259 8427367 26263399 341424187 442760897 5755891661 24927503327 324057543251 17025484772341 221331302040433