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11133232100 = 2252111332321
BaseRepresentation
bin10100101111001011…
…11010001111100100
31001201220010210022122
422113211322033210
5140300101411400
65040423445112
7542614624424
oct122745721744
931656123278
1011133232100
1147a3468071
1221a85b6798
131085705303
14778872484
1545260a685
hex29797a3e4

11133232100 has 18 divisors (see below), whose sum is σ = 24159113874. Its totient is φ = 4453292800.

The previous prime is 11133232093. The next prime is 11133232109. The reversal of 11133232100 is 123233111.

It can be written as a sum of positive squares in 3 ways, for example, as 930616036 + 10202616064 = 30506^2 + 101008^2 .

It is not an unprimeable number, because it can be changed into a prime (11133232109) by changing a digit.

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, 55666061 + ... + 55666260.

It is an arithmetic number, because the mean of its divisors is an integer number (1342172993).

Almost surely, 211133232100 is an apocalyptic number.

11133232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133232100 is an abundant number, since it is smaller than the sum of its proper divisors (13025881774).

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

11133232100 is a wasteful number, since it uses less digits than its factorization.

11133232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111332335 (or 111332328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11133232100 its reverse (123233111), we get a palindrome (11256465211).

The spelling of 11133232100 in words is "eleven billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 111332321 222664642 445329284 556661605 1113323210 2226646420 2783308025 5566616050 11133232100