Search a number
-
+
13320334100 = 22521091222049
BaseRepresentation
bin11000110011111010…
…00010101100010100
31021101022120002020102
430121331002230110
5204240001142400
610041432553232
7651042654203
oct143175025424
937338502212
1013320334100
115715a88187
1226b8b52818
13134386bcc8
1490511323a
1552e62a9d5
hex319f42b14

13320334100 has 36 divisors (see below), whose sum is σ = 29170333500. Its totient is φ = 5279247360.

The previous prime is 13320334087. The next prime is 13320334109. The reversal of 13320334100 is 143302331.

It can be written as a sum of positive squares in 6 ways, for example, as 1342782736 + 11977551364 = 36644^2 + 109442^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320334109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600125 + ... + 621924.

Almost surely, 213320334100 is an apocalyptic number.

13320334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320334100 is an abundant number, since it is smaller than the sum of its proper divisors (15849999400).

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

13320334100 is a wasteful number, since it uses less digits than its factorization.

13320334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222172 (or 1222165 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13320334100 its reverse (143302331), we get a palindrome (13463636431).

The spelling of 13320334100 in words is "thirteen billion, three hundred twenty million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 1222049 2444098 4888196 6110245 12220490 24440980 30551225 61102450 122204900 133203341 266406682 532813364 666016705 1332033410 2664066820 3330083525 6660167050 13320334100