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11131031040 = 293513910427
BaseRepresentation
bin10100101110111011…
…00000111000000000
31001201201222222000220
422113131200320000
5140244020443130
65040304343040
7542560126353
oct122735407000
931651888026
1011131031040
1147a21a4408
1221a7914a80
1310851144cc
1477845c29a
15452323410
hex297760e00

11131031040 has 160 divisors (see below), whose sum is σ = 35843955840. Its totient is φ = 2946637824.

The previous prime is 11131031039. The next prime is 11131031057. The reversal of 11131031040 is 4013013111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062307 + ... + 1072733.

It is an arithmetic number, because the mean of its divisors is an integer number (224024724).

Almost surely, 211131031040 is an apocalyptic number.

11131031040 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 11131031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921977920).

11131031040 is an abundant number, since it is smaller than the sum of its proper divisors (24712924800).

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

11131031040 is a wasteful number, since it uses less digits than its factorization.

11131031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11131031040 its reverse (4013013111), we get a palindrome (15144044151).

The spelling of 11131031040 in words is "eleven billion, one hundred thirty-one million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 256 278 320 384 417 480 512 556 640 695 768 834 960 1112 1280 1390 1536 1668 1920 2085 2224 2560 2780 3336 3840 4170 4448 5560 6672 7680 8340 8896 10427 11120 13344 16680 17792 20854 22240 26688 31281 33360 35584 41708 44480 52135 53376 62562 66720 71168 83416 88960 104270 106752 125124 133440 156405 166832 177920 208540 213504 250248 266880 312810 333664 355840 417080 500496 533760 625620 667328 834160 1000992 1067520 1251240 1334656 1449353 1668320 2001984 2502480 2669312 2898706 3336640 4003968 4348059 5004960 5338624 5797412 6673280 7246765 8007936 8696118 10009920 11594824 13346560 14493530 16015872 17392236 20019840 21740295 23189648 26693120 28987060 34784472 40039680 43480590 46379296 57974120 69568944 80079360 86961180 92758592 115948240 139137888 173922360 185517184 231896480 278275776 347844720 371034368 463792960 556551552 695689440 742068736 927585920 1113103104 1391378880 1855171840 2226206208 2782757760 3710343680 5565515520 11131031040