Search a number
-
+
10000541300 = 2252375961751
BaseRepresentation
bin10010101000001010…
…00010011001110100
3221210221210010122112
421110011002121310
5130440114310200
64332202150152
7502552125041
oct112405023164
927727703575
1010000541300
114272054772
121b311b2358
13c34b49979
146ac2641c8
153d7e68535
hex254142674

10000541300 has 144 divisors (see below), whose sum is σ = 23067690240. Its totient is φ = 3758400000.

The previous prime is 10000541273. The next prime is 10000541303. The reversal of 10000541300 is 314500001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000541303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13315925 + ... + 13316675.

Almost surely, 210000541300 is an apocalyptic number.

10000541300 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 10000541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533845120).

10000541300 is an abundant number, since it is smaller than the sum of its proper divisors (13067148940).

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

10000541300 is a wasteful number, since it uses less digits than its factorization.

10000541300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The spelling of 10000541300 in words is "ten billion, five hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 59 61 74 100 118 122 148 185 236 244 295 305 370 590 610 740 751 925 1180 1220 1475 1502 1525 1850 2183 2257 2950 3004 3050 3599 3700 3755 4366 4514 5900 6100 7198 7510 8732 9028 10915 11285 14396 15020 17995 18775 21830 22570 27787 35990 37550 43660 44309 45140 45811 54575 55574 56425 71980 75100 88618 89975 91622 109150 111148 112850 133163 138935 177236 179950 183244 218300 221545 225700 229055 266326 277870 359900 443090 458110 532652 555740 665815 694675 886180 916220 1107725 1145275 1331630 1389350 1639433 1695007 2215450 2290550 2663260 2702849 2778700 3278866 3329075 3390014 4430900 4581100 5405698 6557732 6658150 6780028 8197165 8475035 10811396 13316300 13514245 16394330 16950070 27028490 32788660 33900140 40985825 42375175 54056980 67571225 81971650 84750350 100005413 135142450 163943300 169500700 200010826 270284900 400021652 500027065 1000054130 2000108260 2500135325 5000270650 10000541300