Search a number
-
+
300020302101 = 313475310329983
BaseRepresentation
bin1000101110110101001…
…10101000000100010101
31001200101221010110222210
410113122212220010111
514403420144131401
6345454420144033
730450532330212
oct4273246500425
91050357113883
10300020302101
111062687035a3
124a190238019
13223a40b96a0
1410741b08b09
157c0e36e4d6
hex45da9a8115

300020302101 has 64 divisors (see below), whose sum is σ = 452632707072. Its totient is φ = 175563078912.

The previous prime is 300020302051. The next prime is 300020302117. The reversal of 300020302101 is 101203020003.

It is a happy number.

It is not a de Polignac number, because 300020302101 - 217 = 300020171029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300020302121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9991356 + ... + 10021338.

It is an arithmetic number, because the mean of its divisors is an integer number (7072386048).

Almost surely, 2300020302101 is an apocalyptic number.

It is an amenable number.

300020302101 is a deficient number, since it is larger than the sum of its proper divisors (152612404971).

300020302101 is a wasteful number, since it uses less digits than its factorization.

300020302101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30202.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 300020302101 its reverse (101203020003), we get a palindrome (401223322104).

It can be divided in two parts, 30002030 and 2101, that added together give a triangular number (30004131 = T7746).

The spelling of 300020302101 in words is "three hundred billion, twenty million, three hundred two thousand, one hundred one".

Divisors: 1 3 13 39 47 53 103 141 159 309 611 689 1339 1833 2067 2491 4017 4841 5459 7473 14523 16377 29983 32383 62933 70967 89949 97149 188799 212901 256573 389779 769719 1169337 1409201 1589099 3088249 3335449 4227603 4767297 9264747 10006347 18319613 20658287 40147237 54958839 61974861 74687653 120441711 145147703 163677197 224062959 435443109 491031591 970939489 1886920139 2127803561 2912818467 5660760417 6383410683 7692828259 23078484777 100006767367 300020302101