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11130024312 = 2332113116141
BaseRepresentation
bin10100101110110011…
…01011000101111000
31001201200002211001200
422113121223011320
5140243241234222
65040231014200
7542545434321
oct122731530570
931650084050
1011130024312
1147a1677000
1221a750a360
131084b51204
14778279448
154521c4eac
hex29766b178

11130024312 has 96 divisors (see below), whose sum is σ = 33156218160. Its totient is φ = 3372705600.

The previous prime is 11130024299. The next prime is 11130024319. The reversal of 11130024312 is 21342003111.

11130024312 is a `hidden beast` number, since 111 + 300 + 243 + 12 = 666.

It is a super-2 number, since 2×111300243122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130024319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37762 + ... + 153902.

Almost surely, 211130024312 is an apocalyptic number.

11130024312 is a gapful number since it is divisible by the number (12) 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 11130024312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16578109080).

11130024312 is an abundant number, since it is smaller than the sum of its proper divisors (22026193848).

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

11130024312 is a wasteful number, since it uses less digits than its factorization.

11130024312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116186 (or 116157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11130024312 its reverse (21342003111), we get a palindrome (32472027423).

The spelling of 11130024312 in words is "eleven billion, one hundred thirty million, twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1331 1452 2178 2662 2904 3993 4356 5324 7986 8712 10648 11979 15972 23958 31944 47916 95832 116141 232282 348423 464564 696846 929128 1045269 1277551 1393692 2090538 2555102 2787384 3832653 4181076 5110204 7665306 8362152 10220408 11497959 14053061 15330612 22995918 28106122 30661224 42159183 45991836 56212244 84318366 91983672 112424488 126477549 154583671 168636732 252955098 309167342 337273464 463751013 505910196 618334684 927502026 1011820392 1236669368 1391253039 1855004052 2782506078 3710008104 5565012156 11130024312