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11032568900 = 2252137805297
BaseRepresentation
bin10100100011001011…
…11010010001000100
31001110212201120100222
422101211322101010
5140043314201100
65022430123512
7540253200623
oct122145722104
931425646328
1011032568900
114751663341
12217a950598
13106a8bb9a2
1476934b6ba
15448874485
hex29197a444

11032568900 has 36 divisors (see below), whose sum is σ = 24115453908. Its totient is φ = 4380810240.

The previous prime is 11032568893. The next prime is 11032568903. The reversal of 11032568900 is 986523011.

It can be written as a sum of positive squares in 6 ways, for example, as 29398084 + 11003170816 = 5422^2 + 104896^2 .

It is not an unprimeable number, because it can be changed into a prime (11032568903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388949 + ... + 416348.

Almost surely, 211032568900 is an apocalyptic number.

11032568900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11032568900 is an abundant number, since it is smaller than the sum of its proper divisors (13082885008).

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

11032568900 is a wasteful number, since it uses less digits than its factorization.

11032568900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805448 (or 805441 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 11032568900 in words is "eleven billion, thirty-two million, five hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6850 13700 805297 1610594 3221188 4026485 8052970 16105940 20132425 40264850 80529700 110325689 220651378 441302756 551628445 1103256890 2206513780 2758142225 5516284450 11032568900