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113103013100 = 225271129506507
BaseRepresentation
bin110100101010101110…
…1110000010011101100
3101210221100021101010012
41221111131300103230
53323113332404400
6123543034032352
711112540514610
oct1512535602354
9353840241105
10113103013100
1143a6a77a850
1219b05b786b8
13a88633b52c
14568d363340
152e1e738d35
hex1a557704ec

113103013100 has 144 divisors (see below), whose sum is σ = 316547239680. Its totient is φ = 34037203200.

The previous prime is 113103013073. The next prime is 113103013139. The reversal of 113103013100 is 1310301311.

It is a happy number.

It is a super-2 number, since 2×1131030131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 29954 + ... + 476553.

It is an arithmetic number, because the mean of its divisors is an integer number (2198244720).

Almost surely, 2113103013100 is an apocalyptic number.

113103013100 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 113103013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158273619840).

113103013100 is an abundant number, since it is smaller than the sum of its proper divisors (203444226580).

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

113103013100 is a wasteful number, since it uses less digits than its factorization.

113103013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506568 (or 506561 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 113103013100 its reverse (1310301311), we get a palindrome (114413314411).

The spelling of 113103013100 in words is "one hundred thirteen billion, one hundred three million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 50 55 58 70 77 100 110 116 140 145 154 175 203 220 275 290 308 319 350 385 406 550 580 638 700 725 770 812 1015 1100 1276 1450 1540 1595 1925 2030 2233 2900 3190 3850 4060 4466 5075 6380 7700 7975 8932 10150 11165 15950 20300 22330 31900 44660 55825 111650 223300 506507 1013014 2026028 2532535 3545549 5065070 5571577 7091098 10130140 11143154 12662675 14182196 14688703 17727745 22286308 25325350 27857885 29377406 35455490 39001039 50650700 55715770 58754812 70910980 73443515 78002078 88638725 102820921 111431540 139289425 146887030 156004156 161575733 177277450 195005195 205641842 278578850 293774060 323151466 354554900 367217575 390010390 411283684 514104605 557157700 646302932 734435150 780020780 807878665 975025975 1028209210 1131030131 1468870300 1615757330 1950051950 2056418420 2262060262 2570523025 3231514660 3900103900 4039393325 4524120524 5141046050 5655150655 8078786650 10282092100 11310301310 16157573300 22620602620 28275753275 56551506550 113103013100