Search a number
-
+
110003000032 = 25311495231423
BaseRepresentation
bin110011001110010110…
…0001001001011100000
3101111221022001101122101
41212130230021023200
53300241232000112
6122311254020144
710642656033622
oct1463454111340
9344838041571
10110003000032
114271990a082
121939b947654
13a4b100a583
145477764c12
152cdc4db757
hex199cb092e0

110003000032 has 96 divisors (see below), whose sum is σ = 225643622400. Its totient is φ = 52731855360.

The previous prime is 110003000021. The next prime is 110003000099. The reversal of 110003000032 is 230000300011.

It is a junction number, because it is equal to n+sod(n) for n = 110002999982 and 110003000018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77302873 + ... + 77304295.

It is an arithmetic number, because the mean of its divisors is an integer number (2350454400).

Almost surely, 2110003000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110003000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112821811200).

110003000032 is an abundant number, since it is smaller than the sum of its proper divisors (115640622368).

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

110003000032 is a wasteful number, since it uses less digits than its factorization.

110003000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 110003000032 its reverse (230000300011), we get a palindrome (340003300043).

The spelling of 110003000032 in words is "one hundred ten billion, three million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 32 62 124 149 248 298 496 523 596 992 1046 1192 1423 2092 2384 2846 4184 4619 4768 5692 8368 9238 11384 16213 16736 18476 22768 32426 36952 44113 45536 64852 73904 77927 88226 129704 147808 155854 176452 212027 259408 311708 352904 424054 518816 623416 705808 744229 848108 1246832 1411616 1488458 1696216 2415737 2493664 2976916 3392432 4831474 5953832 6572837 6784864 9662948 11907664 13145674 19325896 23071099 23815328 26291348 38651792 46142198 52582696 77303584 92284396 105165392 110890121 184568792 210330784 221780242 369137584 443560484 738275168 887120968 1774241936 3437593751 3548483872 6875187502 13750375004 27500750008 55001500016 110003000032