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230042201301 = 321119312127261
BaseRepresentation
bin1101011000111110010…
…1010110110011010101
3210222210000222122011200
43112033211112303111
512232111300420201
6253402510423113
722422442306503
oct3261745266325
9728700878150
10230042201301
1189618909740
1238700801a99
131890136ba53
14b1c3d93673
155eb5b37386
hex358f956cd5

230042201301 has 72 divisors (see below), whose sum is σ = 394278037920. Its totient is φ = 127819944000.

The previous prime is 230042201293. The next prime is 230042201303. The reversal of 230042201301 is 103102240032.

230042201301 is a `hidden beast` number, since 2 + 300 + 42 + 20 + 1 + 301 = 666.

It is not a de Polignac number, because 230042201301 - 23 = 230042201293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230042201303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1744011 + ... + 1871271.

It is an arithmetic number, because the mean of its divisors is an integer number (5476083860).

Almost surely, 2230042201301 is an apocalyptic number.

It is an amenable number.

230042201301 is a deficient number, since it is larger than the sum of its proper divisors (164235836619).

230042201301 is a wasteful number, since it uses less digits than its factorization.

230042201301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127359 (or 127325 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230042201301 its reverse (103102240032), we get a palindrome (333144441333).

The spelling of 230042201301 in words is "two hundred thirty billion, forty-two million, two hundred one thousand, three hundred one".

Divisors: 1 3 9 11 19 31 33 57 93 99 171 209 279 341 589 627 961 1023 1767 1881 2883 3069 5301 6479 8649 10571 18259 19437 31713 54777 58311 95139 127261 164331 200849 381783 602547 1145349 1399871 1807641 2417959 3945091 4199613 7253877 11835273 12598839 21761631 26597549 35505819 43396001 74956729 79792647 122297821 130188003 224870187 239377941 366893463 390564009 674610561 824524019 1100680389 1345276031 2323658599 2473572057 4035828093 6970975797 7420716171 12107484279 20912927391 25560244589 76680733767 230042201301