Search a number
-
+
10303032300 = 223521117318047
BaseRepresentation
bin10011001100001101…
…11100101111101100
3222121000222021021220
421212012330233230
5132100034013200
64422205423340
7513214221021
oct114606745754
928530867256
1010303032300
11440787a730
121bb656ab50
13c8270a522
146da4c5548
154047ba4a0
hex2661bcbec

10303032300 has 144 divisors (see below), whose sum is σ = 32709906432. Its totient is φ = 2483129600.

The previous prime is 10303032287. The next prime is 10303032331. The reversal of 10303032300 is 323030301.

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 10303032300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561877 + ... + 579923.

It is an arithmetic number, because the mean of its divisors is an integer number (227152128).

Almost surely, 210303032300 is an apocalyptic number.

10303032300 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 10303032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354953216).

10303032300 is an abundant number, since it is smaller than the sum of its proper divisors (22406874132).

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

10303032300 is a wasteful number, since it uses less digits than its factorization.

10303032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18248 (or 18241 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 10303032300 its reverse (323030301), we get a palindrome (10626062601).

The spelling of 10303032300 in words is "ten billion, three hundred three million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 173 220 275 300 330 346 519 550 660 692 825 865 1038 1100 1650 1730 1903 2076 2595 3300 3460 3806 4325 5190 5709 7612 8650 9515 10380 11418 12975 17300 18047 19030 22836 25950 28545 36094 38060 47575 51900 54141 57090 72188 90235 95150 108282 114180 142725 180470 190300 198517 216564 270705 285450 360940 397034 451175 541410 570900 595551 794068 902350 992585 1082820 1191102 1353525 1804700 1985170 2382204 2707050 2977755 3122131 3970340 4962925 5414100 5955510 6244262 9366393 9925850 11911020 12488524 14888775 15610655 18732786 19851700 29777550 31221310 34343441 37465572 46831965 59555100 62442620 68686882 78053275 93663930 103030323 137373764 156106550 171717205 187327860 206060646 234159825 312213100 343434410 412121292 468319650 515151615 686868820 858586025 936639300 1030303230 1717172050 2060606460 2575758075 3434344100 5151516150 10303032300