Search a number
-
+
11530424100 = 22352135235653
BaseRepresentation
bin10101011110100010…
…00100111100100100
31002202120112020022110
422233101010330210
5142103242032400
65144053001020
7555506662536
oct125721047444
932676466273
1011530424100
114987695318
122299623170
131119aa2770
147b5505856
15477416e50
hex2af444f24

11530424100 has 144 divisors (see below), whose sum is σ = 36002681792. Its totient is φ = 2832330240.

The previous prime is 11530424089. The next prime is 11530424119. The reversal of 11530424100 is 142403511.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2036874 + ... + 2042526.

Almost surely, 211530424100 is an apocalyptic number.

11530424100 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 11530424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18001340896).

11530424100 is an abundant number, since it is smaller than the sum of its proper divisors (24472257692).

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

11530424100 is a wasteful number, since it uses less digits than its factorization.

11530424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11530424100 its reverse (142403511), we get a palindrome (11672827611).

The spelling of 11530424100 in words is "eleven billion, five hundred thirty million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 523 650 780 975 1046 1300 1569 1950 2092 2615 3138 3900 5230 5653 6276 6799 7845 10460 11306 13075 13598 15690 16959 20397 22612 26150 27196 28265 31380 33918 33995 39225 40794 52300 56530 67836 67990 73489 78450 81588 84795 101985 113060 135980 141325 146978 156900 169590 169975 203970 220467 282650 293956 339180 339950 367445 407940 423975 440934 509925 565300 679900 734890 847950 881868 1019850 1102335 1469780 1695900 1837225 2039700 2204670 2956519 3674450 4409340 5511675 5913038 7348900 8869557 11023350 11826076 14782595 17739114 22046700 29565190 35478228 38434747 44347785 59130380 73912975 76869494 88695570 115304241 147825950 153738988 177391140 192173735 221738925 230608482 295651900 384347470 443477850 461216964 576521205 768694940 886955700 960868675 1153042410 1921737350 2306084820 2882606025 3843474700 5765212050 11530424100