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221311314330203 = 173141229165726993
BaseRepresentation
bin110010010100100000001110…
…010001101000001001011011
31002000121011012000100112200002
4302110200032101220021123
5213001431032432031303
62102405003024403215
764421133452256416
oct6224401621501133
91060534160315602
10221311314330203
1164575668402299
12209a374747650b
13966474b73bc96
143c9174bd60b7d
151a8bc362c9788
hexc9480e46825b

221311314330203 has 64 divisors (see below), whose sum is σ = 249029834296320. Its totient is φ = 195673256755200.

The previous prime is 221311314330191. The next prime is 221311314330287. The reversal of 221311314330203 is 302033413113122.

It is a cyclic number.

It is not a de Polignac number, because 221311314330203 - 212 = 221311314326107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221311314360203) 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 63 ways as a sum of consecutive naturals, for example, 8198827475 + ... + 8198854467.

It is an arithmetic number, because the mean of its divisors is an integer number (3891091160880).

Almost surely, 2221311314330203 is an apocalyptic number.

221311314330203 is a deficient number, since it is larger than the sum of its proper divisors (27718519966117).

221311314330203 is a wasteful number, since it uses less digits than its factorization.

221311314330203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28968.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 221311314330203 its reverse (302033413113122), we get a palindrome (523344727443325).

The spelling of 221311314330203 in words is "two hundred twenty-one trillion, three hundred eleven billion, three hundred fourteen million, three hundred thirty thousand, two hundred three".

Divisors: 1 17 31 41 229 527 697 1271 1657 3893 7099 9389 21607 26993 28169 51367 67937 120683 159613 291059 379453 458881 836783 873239 1106713 1154929 2106047 4948003 6181397 6450701 11763043 14225311 15557573 18814121 34308103 35802799 44727401 105083749 191623307 199971731 253437277 264478741 482284763 583237751 760365817 1386549431 1833823441 3257596219 4308433709 7856555587 8198840971 10242574829 23571340327 31174998497 56848526671 133561444979 174123772093 317519819699 419945567989 966424953407 5397836934883 7139074655813 13018312607659 221311314330203