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11244754300 = 225213411131867
BaseRepresentation
bin10100111100011110…
…10101010101111100
31002000122222201000111
422132033111111330
5141012124114200
65055450035404
7545440556143
oct123617252574
932018881014
1011244754300
11485040937a
122219a18b64
1310a2851490
147895c275a
1545c2d90ba
hex29e3d557c

11244754300 has 144 divisors (see below), whose sum is σ = 27171823392. Its totient is φ = 4012646400.

The previous prime is 11244754267. The next prime is 11244754309. The reversal of 11244754300 is 345744211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244754309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6021967 + ... + 6023833.

It is an arithmetic number, because the mean of its divisors is an integer number (188693218).

Almost surely, 211244754300 is an apocalyptic number.

11244754300 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 11244754300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585911696).

11244754300 is an abundant number, since it is smaller than the sum of its proper divisors (15927069092).

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

11244754300 is a wasteful number, since it uses less digits than its factorization.

11244754300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 11244754300 in words is "eleven billion, two hundred forty-four million, seven hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 113 130 164 205 226 260 325 410 452 533 565 650 820 1025 1066 1130 1300 1469 1867 2050 2132 2260 2665 2825 2938 3734 4100 4633 5330 5650 5876 7345 7468 9266 9335 10660 11300 13325 14690 18532 18670 23165 24271 26650 29380 36725 37340 46330 46675 48542 53300 60229 73450 76547 92660 93350 97084 115825 120458 121355 146900 153094 186700 210971 231650 240916 242710 301145 306188 382735 421942 463300 485420 602290 606775 765470 843884 995111 1054855 1204580 1213550 1505725 1530940 1913675 1990222 2109710 2427100 2742623 3011450 3827350 3980444 4219420 4975555 5274275 5485246 6022900 7654700 8649811 9951110 10548550 10970492 13713115 17299622 19902220 21097100 24877775 27426230 34599244 43249055 49755550 54852460 68565575 86498110 99511100 112447543 137131150 172996220 216245275 224895086 274262300 432490550 449790172 562237715 864981100 1124475430 2248950860 2811188575 5622377150 11244754300