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11300561000 = 235313981299
BaseRepresentation
bin10101000011001000…
…01110000001101000
31002011112222222102022
422201210032001220
5141120420423000
65105202124012
7550016116661
oct124144160150
932145888368
1011300561000
114879965813
122234650608
1310b12908b1
14792b8c368
1546215e585
hex2a190e068

11300561000 has 64 divisors (see below), whose sum is σ = 26633880000. Its totient is φ = 4487649600.

The previous prime is 11300560987. The next prime is 11300561003. The reversal of 11300561000 is 16500311.

It is a self number, because there is not a number n which added to its sum of digits gives 11300561000.

It is not an unprimeable number, because it can be changed into a prime (11300561003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98351 + ... + 179649.

It is an arithmetic number, because the mean of its divisors is an integer number (416154375).

Almost surely, 211300561000 is an apocalyptic number.

11300561000 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 11300561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316940000).

11300561000 is an abundant number, since it is smaller than the sum of its proper divisors (15333319000).

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

11300561000 is a wasteful number, since it uses less digits than its factorization.

11300561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81459 (or 81445 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The spelling of 11300561000 in words is "eleven billion, three hundred million, five hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 200 250 278 500 556 695 1000 1112 1390 2780 3475 5560 6950 13900 17375 27800 34750 69500 81299 139000 162598 325196 406495 650392 812990 1625980 2032475 3251960 4064950 8129900 10162375 11300561 16259800 20324750 22601122 40649500 45202244 56502805 81299000 90404488 113005610 226011220 282514025 452022440 565028050 1130056100 1412570125 2260112200 2825140250 5650280500 11300561000