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11132020000 = 2554556601
BaseRepresentation
bin10100101111000010…
…10010010100100000
31001201210212012122001
422113201102110200
5140244244120000
65040341453344
7542601415543
oct122741222440
931653765561
1011132020000
1147a280a432
1221a8111254
13108539c6aa
1477863885a
1545246b46a
hex297852520

11132020000 has 60 divisors (see below), whose sum is σ = 27386488206. Its totient is φ = 4452800000.

The previous prime is 11132019979. The next prime is 11132020007. The reversal of 11132020000 is 2023111.

It can be written as a sum of positive squares in 5 ways, for example, as 754930576 + 10377089424 = 27476^2 + 101868^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11132020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 258301 + ... + 298300.

Almost surely, 211132020000 is an apocalyptic number.

11132020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132020000 is an abundant number, since it is smaller than the sum of its proper divisors (16254468206).

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

11132020000 is an frugal number, since it uses more digits than its factorization.

11132020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556631 (or 556608 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11132020000 its reverse (2023111), we get a palindrome (11134043111).

The spelling of 11132020000 in words is "eleven billion, one hundred thirty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 556601 1113202 2226404 2783005 4452808 5566010 8905616 11132020 13915025 17811232 22264040 27830050 44528080 55660100 69575125 89056160 111320200 139150250 222640400 278300500 347875625 445280800 556601000 695751250 1113202000 1391502500 2226404000 2783005000 5566010000 11132020000