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103120313100 = 223527192584469
BaseRepresentation
bin110000000001001110…
…0110001101100001100
3100212011122001200010120
41200002130301230030
53142142300004400
6115212310104540
710310263125150
oct1400234615414
9325148050116
10103120313100
113a807801562
1217b9a94b150
1399550ca55c
144dc3625060
152a38146ca0
hex1802731b0c

103120313100 has 144 divisors (see below), whose sum is σ = 358931193600. Its totient is φ = 22329803520.

The previous prime is 103120313069. The next prime is 103120313129. The reversal of 103120313100 is 1313021301.

It is a super-2 number, since 2×1031203131002 (a number of 23 digits) contains 22 as substring.

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 103120313100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252335 + ... + 1332134.

Almost surely, 2103120313100 is an apocalyptic number.

103120313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103120313100 is an abundant number, since it is smaller than the sum of its proper divisors (255810880500).

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

103120313100 is a wasteful number, since it uses less digits than its factorization.

103120313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584512 (or 2584505 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103120313100 its reverse (1313021301), we get a palindrome (104433334401).

The spelling of 103120313100 in words is "one hundred three billion, one hundred twenty million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 2584469 5168938 7753407 10337876 12922345 15506814 18091283 25844690 31013628 36182566 38767035 49104911 51689380 54273849 64611725 72365132 77534070 90456415 98209822 108547698 129223450 147314733 155068140 180912830 193835175 196419644 217095396 245524555 258446900 271369245 294629466 343734377 361825660 387670350 452282075 491049110 542738490 589258932 687468754 736573665 775340700 904564150 982098220 1031203131 1085476980 1227622775 1356846225 1374937508 1473147330 1718671885 1809128300 2062406262 2455245550 2713692450 2946294660 3437343770 3682868325 4124812524 4910491100 5156015655 5427384900 6874687540 7365736650 8593359425 10312031310 14731473300 17186718850 20624062620 25780078275 34373437700 51560156550 103120313100