Search a number
-
+
11132140400 = 245227830351
BaseRepresentation
bin10100101111000011…
…01111101101110000
31001201211002022210022
422113201233231300
5140244311443100
65040344223012
7542602426553
oct122741575560
931654068708
1011132140400
1147a2891937
1221a816aa68
131085412434
1477866a69a
15452491e85
hex29786fb70

11132140400 has 30 divisors (see below), whose sum is σ = 26744968272. Its totient is φ = 4452856000.

The previous prime is 11132140391. The next prime is 11132140427. The reversal of 11132140400 is 404123111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13914776 + ... + 13915575.

Almost surely, 211132140400 is an apocalyptic number.

11132140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132140400 is an abundant number, since it is smaller than the sum of its proper divisors (15612827872).

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

11132140400 is a wasteful number, since it uses less digits than its factorization.

11132140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27830369 (or 27830358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11132140400 its reverse (404123111), we get a palindrome (11536263511).

The spelling of 11132140400 in words is "eleven billion, one hundred thirty-two million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 27830351 55660702 111321404 139151755 222642808 278303510 445285616 556607020 695758775 1113214040 1391517550 2226428080 2783035100 5566070200 11132140400