Search a number
-
+
300300101101 = 711131915789479
BaseRepresentation
bin1000101111010110100…
…01111110010111101101
31001201010102121202001201
410113223101332113231
514410003311213401
6345542253205501
730460500512560
oct4275321762755
91051112552051
10300300101101
111063a163a740
124a249a90891
132241a063720
141076ad404d7
157c28bdcb01
hex45eb47e5ed

300300101101 has 32 divisors (see below), whose sum is σ = 424421222400. Its totient is φ = 204631634880.

The previous prime is 300300101077. The next prime is 300300101131. The reversal of 300300101101 is 101101003003.

It is a cyclic number.

It is not a de Polignac number, because 300300101101 - 213 = 300300092909 is a prime.

It is a super-4 number, since 4×3003001011014 (a number of 47 digits) contains 4444 as substring.

300300101101 is a modest number, since divided by 101101 gives 3003 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300300101131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7875721 + ... + 7913758.

It is an arithmetic number, because the mean of its divisors is an integer number (13263163200).

Almost surely, 2300300101101 is an apocalyptic number.

It is an amenable number.

300300101101 is a deficient number, since it is larger than the sum of its proper divisors (124121121299).

300300101101 is a wasteful number, since it uses less digits than its factorization.

300300101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15789529.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 300300101101 its reverse (101101003003), we get a palindrome (401401104104).

The spelling of 300300101101 in words is "three hundred billion, three hundred million, one hundred one thousand, one hundred one".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 15789479 110526353 173684269 205263227 300000101 1215789883 1436842589 2100000707 2257895497 3300001111 3900001313 15805268479 23100007777 27300009191 42900014443 300300101101