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11132332300 = 22524113719819
BaseRepresentation
bin10100101111000100…
…11110100100001100
31001201211110002000201
422113202132210030
5140244334113200
65040352303244
7542604156205
oct122742364414
931654402021
1011132332300
1147a2a03031
1221a8241b24
13108547b89b
147786ba5ac
154524cdc6a
hex29789e90c

11132332300 has 72 divisors (see below), whose sum is σ = 24928248240. Its totient is φ = 4312396800.

The previous prime is 11132332261. The next prime is 11132332331. The reversal of 11132332300 is 323323111.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551791 + ... + 571609.

It is an arithmetic number, because the mean of its divisors is an integer number (346225670).

Almost surely, 211132332300 is an apocalyptic number.

11132332300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464124120).

11132332300 is an abundant number, since it is smaller than the sum of its proper divisors (13795915940).

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

11132332300 is a wasteful number, since it uses less digits than its factorization.

11132332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20011 (or 20004 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 11132332300 its reverse (323323111), we get a palindrome (11455655411).

The spelling of 11132332300 in words is "eleven billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 137 164 205 274 410 548 685 820 1025 1370 2050 2740 3425 4100 5617 6850 11234 13700 19819 22468 28085 39638 56170 79276 99095 112340 140425 198190 280850 396380 495475 561700 812579 990950 1625158 1981900 2715203 3250316 4062895 5430406 8125790 10860812 13576015 16251580 20314475 27152030 40628950 54304060 67880075 81257900 111323323 135760150 222646646 271520300 445293292 556616615 1113233230 2226466460 2783083075 5566166150 11132332300