Search a number
-
+
230313301101 = 331323291039551
BaseRepresentation
bin1101011001111110111…
…1100001010001101101
3211000110221002221012000
43112133233201101231
512233140201113401
6253445433202513
722432243521102
oct3263757412155
9730427087160
10230313301101
1189747943a64
1238777560439
131894558b330
14b20bda2aa9
155ece838186
hex359fbe146d

230313301101 has 128 divisors (see below), whose sum is σ = 400542105600. Its totient is φ = 129609849600.

The previous prime is 230313301093. The next prime is 230313301121. The reversal of 230313301101 is 101103313032.

It is a happy number.

230313301101 is a `hidden beast` number, since 230 + 3 + 1 + 330 + 1 + 101 = 666.

It is not a de Polignac number, because 230313301101 - 23 = 230313301093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230313301121) 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 127 ways as a sum of consecutive naturals, for example, 24109276 + ... + 24118826.

It is an arithmetic number, because the mean of its divisors is an integer number (3129235200).

Almost surely, 2230313301101 is an apocalyptic number.

It is an amenable number.

230313301101 is a deficient number, since it is larger than the sum of its proper divisors (170228804499).

230313301101 is a wasteful number, since it uses less digits than its factorization.

230313301101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9728 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 230313301101 its reverse (101103313032), we get a palindrome (331416614133).

The spelling of 230313301101 in words is "two hundred thirty billion, three hundred thirteen million, three hundred one thousand, one hundred one".

Divisors: 1 3 9 13 23 27 29 39 69 87 103 117 207 261 299 309 351 377 621 667 783 897 927 1131 1339 2001 2369 2691 2781 2987 3393 4017 6003 7107 8073 8671 8961 9551 10179 12051 18009 21321 26013 26883 28653 30797 36153 38831 63963 68701 78039 80649 85959 92391 116493 124163 206103 219673 234117 257877 276979 277173 349479 372489 618309 659019 830937 831519 893113 983753 1048437 1117467 1854927 1977057 2492811 2679339 2855749 2951259 3352401 3600727 5931171 6370517 7478433 8038017 8567247 8853777 10802181 12788789 19111551 22626319 24114051 25701741 26561331 28528837 32406543 38366367 57334653 67878957 77105223 82816721 85586511 97219629 115099101 172003959 203636871 248450163 256759533 294142147 345297303 370874881 610910613 656163251 745350489 770278599 882426441 1112624643 1968489753 2236051467 2647279323 3337873929 5905469259 7941837969 8530122263 10013621787 17716407777 25590366789 76771100367 230313301101