Search a number
-
+
103100021100 = 223352192009747
BaseRepresentation
bin110000000000100111…
…1010111100101101100
3100212010012212201202000
41200001033113211230
53142122101133400
6115210303132300
710306625501616
oct1400117274554
9325105781660
10103100021100
113a7a730190a
1217b93ba4090
139950b4425b
144dc0a61db6
152a36489600
hex18013d796c

103100021100 has 144 divisors (see below), whose sum is σ = 348892252800. Its totient is φ = 26046308160.

The previous prime is 103100021069. The next prime is 103100021149. The reversal of 103100021100 is 1120001301.

It is a super-2 number, since 2×1031000211002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 953574 + ... + 1056173.

Almost surely, 2103100021100 is an apocalyptic number.

103100021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103100021100 is an abundant number, since it is smaller than the sum of its proper divisors (245792231700).

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

103100021100 is a wasteful number, since it uses less digits than its factorization.

103100021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009789 (or 2009776 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 103100021100 its reverse (1120001301), we get a palindrome (104220022401).

The spelling of 103100021100 in words is "one hundred three billion, one hundred million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 2009747 4019494 6029241 8038988 10048735 12058482 18087723 20097470 24116964 30146205 36175446 38185193 40194940 50243675 54263169 60292410 72350892 76370386 90438615 100487350 108526338 114555579 120584820 150731025 152740772 180877230 190925965 200974700 217052676 229111158 271315845 301462050 343666737 361754460 381851930 452193075 458222316 542631690 572777895 602924100 687333474 763703860 904386150 954629825 1031000211 1085263380 1145555790 1356579225 1374666948 1718333685 1808772300 1909259650 2062000422 2291111580 2713158450 2863889475 3436667370 3818519300 4124000844 5155001055 5426316900 5727778950 6873334740 8591668425 10310002110 11455557900 17183336850 20620004220 25775005275 34366673700 51550010550 103100021100