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230314310304221 = 11313787119314177
BaseRepresentation
bin110100010111100000111010…
…101001110000000111011101
31010012110211111021121121202002
4310113200322221300013131
5220141432201414213341
62133500533345212045
766340442212352063
oct6427407251600735
91105424437547662
10230314310304221
1167426828981000
12219b8558631025
139b68714203860
1440c33b48c2033
151b9600ca0229b
hexd1783aa701dd

230314310304221 has 64 divisors (see below), whose sum is σ = 273410147195136. Its totient is φ = 192849768714240.

The previous prime is 230314310304109. The next prime is 230314310304251. The reversal of 230314310304221 is 122403013413032.

230314310304221 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 230314310304221 - 218 = 230314310042077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230314310304251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16245623885 + ... + 16245638061.

It is an arithmetic number, because the mean of its divisors is an integer number (4272033549924).

Almost surely, 2230314310304221 is an apocalyptic number.

It is an amenable number.

230314310304221 is a deficient number, since it is larger than the sum of its proper divisors (43095836890915).

230314310304221 is a wasteful number, since it uses less digits than its factorization.

230314310304221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16203 (or 16181 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 230314310304221 its reverse (122403013413032), we get a palindrome (352717323717253).

The spelling of 230314310304221 in words is "two hundred thirty trillion, three hundred fourteen billion, three hundred ten million, three hundred four thousand, two hundred twenty-one".

Divisors: 1 11 13 121 143 787 1193 1331 1573 8657 10231 13123 14177 15509 17303 95227 112541 144353 155947 170599 184301 938891 1047497 1237951 1587883 1715417 1876589 2027311 10327801 11157299 12205583 13617461 16913161 18869587 20642479 22300421 113605811 122730289 134261413 145044887 186044771 219871093 245304631 1249663921 1350033179 1476875543 1595493757 2046492481 2418582023 13310657707 14850364969 16245630973 17550431327 22511417291 26604402253 146417234777 173038550191 193054744597 292648424783 1610589582547 1903424052101 17716485408017 20937664573111 230314310304221