Search a number
-
+
11311131300 = 22352719283487
BaseRepresentation
bin10101000100011001…
…00010101010100100
31002012021220000010220
422202030202222210
5141131122200200
65110220444340
7550205013120
oct124214425244
932167800126
1011311131300
1148849253a7
1222380a96b0
1310b3521c01
14794340580
1546304b4a0
hex2a2322aa4

11311131300 has 144 divisors (see below), whose sum is σ = 39370813440. Its totient is φ = 2449319040.

The previous prime is 11311131253. The next prime is 11311131311. The reversal of 11311131300 is 313111311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11311131300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101844 + ... + 181643.

Almost surely, 211311131300 is an apocalyptic number.

11311131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311131300 is an abundant number, since it is smaller than the sum of its proper divisors (28059682140).

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

11311131300 is a wasteful number, since it uses less digits than its factorization.

11311131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283530 (or 283523 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11311131300 its reverse (313111311), we get a palindrome (11624242611).

The spelling of 11311131300 in words is "eleven billion, three hundred eleven million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 283487 566974 850461 1133948 1417435 1700922 1984409 2834870 3401844 3968818 4252305 5386253 5669740 5953227 7087175 7937636 8504610 9922045 10772506 11906454 14174350 16158759 17009220 19844090 21261525 21545012 23812908 26931265 28348700 29766135 32317518 37703771 39688180 42523050 49610225 53862530 59532270 64635036 75407542 80793795 85046100 99220450 107725060 113111313 119064540 134656325 148830675 150815084 161587590 188518855 198440900 226222626 269312650 297661350 323175180 377037710 403968975 452445252 538625300 565556565 595322700 754075420 807937950 942594275 1131113130 1615875900 1885188550 2262226260 2827782825 3770377100 5655565650 11311131300