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103203112300 = 225247611792011
BaseRepresentation
bin110000000011101100…
…0101000010101101100
3100212101101212022021121
41200013120220111230
53142324444043200
6115224424510324
710312316660221
oct1400730502554
9325341768247
10103203112300
113a84a514852
121800261b3a4
1399692caa72
144dd0619948
152a4054ee1a
hex180762856c

103203112300 has 144 divisors (see below), whose sum is σ = 233880030720. Its totient is φ = 39498912000.

The previous prime is 103203112283. The next prime is 103203112301. The reversal of 103203112300 is 3211302301.

It is a super-2 number, since 2×1032031123002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103203112301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51318295 + ... + 51320305.

It is an arithmetic number, because the mean of its divisors is an integer number (1624166880).

Almost surely, 2103203112300 is an apocalyptic number.

103203112300 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 103203112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116940015360).

103203112300 is an abundant number, since it is smaller than the sum of its proper divisors (130676918420).

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

103203112300 is a wasteful number, since it uses less digits than its factorization.

103203112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103203112300 its reverse (3211302301), we get a palindrome (106414414601).

The spelling of 103203112300 in words is "one hundred three billion, two hundred three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 61 94 100 122 179 188 235 244 305 358 470 610 716 895 940 1175 1220 1525 1790 2011 2350 2867 3050 3580 4022 4475 4700 5734 6100 8044 8413 8950 10055 10919 11468 14335 16826 17900 20110 21838 28670 33652 40220 42065 43676 50275 54595 57340 71675 84130 94517 100550 109190 122671 143350 168260 189034 201100 210325 218380 245342 272975 286700 359969 378068 420650 472585 490684 513193 545950 613355 719938 841300 945170 1026386 1091900 1226710 1439876 1799845 1890340 2052772 2362925 2453420 2565965 3066775 3599690 4725850 5131930 5765537 6133550 7199380 8999225 9451700 10263860 11531074 12267100 12829825 16918543 17998450 21958109 23062148 25659650 28827685 33837086 35996900 43916218 51319300 57655370 67674172 84592715 87832436 109790545 115310740 144138425 169185430 219581090 288276850 338370860 422963575 439162180 548952725 576553700 845927150 1032031123 1097905450 1691854300 2064062246 2195810900 4128124492 5160155615 10320311230 20640622460 25800778075 51601556150 103203112300