Search a number
-
+
1130212410 = 2352311931373
BaseRepresentation
bin100001101011101…
…1010110000111010
32220202200201221220
41003113122300322
54303313244120
6304052212510
740002434625
oct10327326072
92822621856
101130212410
1152aa80348
1227660a136
131501cb552
14aa164dbc
1569352b40
hex435dac3a

1130212410 has 64 divisors (see below), whose sum is σ = 2834880768. Its totient is φ = 287834624.

The previous prime is 1130212403. The next prime is 1130212451. The reversal of 1130212410 is 142120311.

1130212410 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 1130212410.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822484 + ... + 823856.

It is an arithmetic number, because the mean of its divisors is an integer number (44295012).

Almost surely, 21130212410 is an apocalyptic number.

1130212410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130212410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417440384).

1130212410 is an abundant number, since it is smaller than the sum of its proper divisors (1704668358).

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

1130212410 is a wasteful number, since it uses less digits than its factorization.

1130212410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1130212410 is about 33618.6318876899. The cubic root of 1130212410 is about 1041.6456963743.

Adding to 1130212410 its reverse (142120311), we get a palindrome (1272332721).

The spelling of 1130212410 in words is "one billion, one hundred thirty million, two hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1193 1373 2386 2746 3579 4119 5965 6865 7158 8238 11930 13730 17895 20595 27439 31579 35790 41190 54878 63158 82317 94737 137195 157895 164634 189474 274390 315790 411585 473685 823170 947370 1637989 3275978 4913967 8189945 9827934 16379890 24569835 37673747 49139670 75347494 113021241 188368735 226042482 376737470 565106205 1130212410