Search a number
-
+
413300104002 = 232101322666453
BaseRepresentation
bin1100000001110101001…
…10110001101101000010
31110111210121001122202100
412000322212301231002
523232414311312002
6513511211331230
741600650630302
oct6007246615502
91414717048670
10413300104002
1114a309152395
1268125450b16
132cc87c46276
141600a72b602
15ab3e37a11c
hex603a9b1b42

413300104002 has 24 divisors (see below), whose sum is σ = 896367589884. Its totient is φ = 137630696544.

The previous prime is 413300103973. The next prime is 413300104003. The reversal of 413300104002 is 200401003314.

It can be written as a sum of positive squares in 2 ways, for example, as 413231694561 + 68409441 = 642831^2 + 8271^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (413300104003) 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 11 ways as a sum of consecutive naturals, for example, 11314993 + ... + 11351460.

Almost surely, 2413300104002 is an apocalyptic number.

413300104002 is an abundant number, since it is smaller than the sum of its proper divisors (483067485882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413300104002 is a wasteful number, since it uses less digits than its factorization.

413300104002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22667474 (or 22667471 counting only the distinct ones).

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

Adding to 413300104002 its reverse (200401003314), we get a palindrome (613701107316).

The spelling of 413300104002 in words is "four hundred thirteen billion, three hundred million, one hundred four thousand, two".

Divisors: 1 2 3 6 9 18 1013 2026 3039 6078 9117 18234 22666453 45332906 67999359 135998718 203998077 407996154 22961116889 45922233778 68883350667 137766701334 206650052001 413300104002