Search a number
-
+
11341340100 = 22325212601489
BaseRepresentation
bin10101000111111111…
…10001110111000100
31002021101201202211100
422203333301313010
5141211340340400
65113220140100
7551022541326
oct124377616704
932241652740
1011341340100
11489a988752
122246237630
1310b986ac3c
14798365616
15465a17100
hex2a3ff1dc4

11341340100 has 54 divisors (see below), whose sum is σ = 35548803290. Its totient is φ = 3024357120.

The previous prime is 11341340081. The next prime is 11341340107. The reversal of 11341340100 is 104314311.

11341340100 is a `hidden beast` number, since 113 + 413 + 40 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 115089984 + 11226250116 = 10728^2 + 105954^2 .

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 (11341340107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6299845 + ... + 6301644.

Almost surely, 211341340100 is an apocalyptic number.

11341340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11341340100 is an abundant number, since it is smaller than the sum of its proper divisors (24207463190).

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

11341340100 is a wasteful number, since it uses less digits than its factorization.

11341340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12601509 (or 12601499 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11341340100 its reverse (104314311), we get a palindrome (11445654411).

The spelling of 11341340100 in words is "eleven billion, three hundred forty-one million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12601489 25202978 37804467 50405956 63007445 75608934 113413401 126014890 151217868 189022335 226826802 252029780 315037225 378044670 453653604 567067005 630074450 756089340 945111675 1134134010 1260148900 1890223350 2268268020 2835335025 3780446700 5670670050 11341340100