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11133302320 = 2457196611583
BaseRepresentation
bin10100101111001100…
…01011011000110000
31001201220021100122101
422113212023120300
5140300111133240
65040425150144
7542615336230
oct122746133060
931656240571
1011133302320
1147a35058a8
1221a862b354
13108572b26a
1477888dcc0
1545262139a
hex29798b630

11133302320 has 160 divisors (see below), whose sum is σ = 31206574080. Its totient is φ = 3608478720.

The previous prime is 11133302309. The next prime is 11133302321. The reversal of 11133302320 is 2320333111.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (11133302321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7032249 + ... + 7033831.

It is an arithmetic number, because the mean of its divisors is an integer number (195041088).

Almost surely, 211133302320 is an apocalyptic number.

11133302320 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 11133302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603287040).

11133302320 is an abundant number, since it is smaller than the sum of its proper divisors (20073271760).

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

11133302320 is a wasteful number, since it uses less digits than its factorization.

11133302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2277 counting only the distinct ones).

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

Adding to 11133302320 its reverse (2320333111), we get a palindrome (13453635431).

The spelling of 11133302320 in words is "eleven billion, one hundred thirty-three million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 661 665 760 1064 1322 1330 1520 1583 2128 2644 2660 3166 3305 4627 5288 5320 6332 6610 7915 9254 10576 10640 11081 12559 12664 13220 15830 18508 22162 23135 25118 25328 26440 30077 31660 37016 44324 46270 50236 52880 55405 60154 62795 63320 74032 87913 88648 92540 100472 110810 120308 125590 126640 150385 175826 177296 185080 200944 210539 221620 240616 251180 300770 351652 370160 421078 439565 443240 481232 502360 601540 703304 842156 879130 886480 1004720 1046363 1052695 1203080 1406608 1684312 1758260 2092726 2105390 2406160 3368624 3516520 4185452 4210780 5231815 7033040 7324541 8370904 8421560 10463630 14649082 16741808 16843120 19880897 20927260 29298164 36622705 39761794 41854520 58596328 73245410 79523588 83709040 99404485 117192656 139166279 146490820 159047176 198808970 278332558 292981640 318094352 397617940 556665116 585963280 695831395 795235880 1113330232 1391662790 1590471760 2226660464 2783325580 5566651160 11133302320