Search a number
-
+
11130000044 = 22193771107521
BaseRepresentation
bin10100101110110011…
…00101001010101100
31001201200001120202212
422113121211022230
5140243240000134
65040230305552
7542545303502
oct122731451254
931650046685
1011130000044
1147a165a849
1221a74b82b8
131084b43157
14778270672
154521bcbce
hex2976652ac

11130000044 has 96 divisors (see below), whose sum is σ = 21594263040. Its totient is φ = 5000486400.

The previous prime is 11130000023. The next prime is 11130000047. The reversal of 11130000044 is 44000003111.

It is a happy number.

11130000044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11129999983 and 11130000028.

It is not an unprimeable number, because it can be changed into a prime (11130000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21362504 + ... + 21363024.

It is an arithmetic number, because the mean of its divisors is an integer number (224940240).

Almost surely, 211130000044 is an apocalyptic number.

It is an amenable number.

11130000044 is a deficient number, since it is larger than the sum of its proper divisors (10464262996).

11130000044 is a wasteful number, since it uses less digits than its factorization.

11130000044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11130000044 its reverse (44000003111), we get a palindrome (55130003155).

The spelling of 11130000044 in words is "eleven billion, one hundred thirty million, forty-four", and thus it is an aban number.

Divisors: 1 2 4 19 37 38 71 74 76 107 142 148 214 284 428 521 703 1042 1349 1406 2033 2084 2627 2698 2812 3959 4066 5254 5396 7597 7918 8132 9899 10508 15194 15836 19277 19798 30388 36991 38554 39596 49913 55747 73982 75221 77108 99826 111494 144343 147964 150442 199652 222988 281089 288686 300884 366263 562178 577372 702829 732526 1059193 1124356 1368667 1405658 1465052 2062639 2118386 2737334 2811316 3958037 4125278 4236772 5340691 5474668 7916074 8250556 10681382 15832148 21362764 26004673 39190141 52009346 75202703 78380282 104018692 146447369 150405406 156760564 292894738 300810812 585789476 2782500011 5565000022 11130000044