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13100103300 = 22352299371607
BaseRepresentation
bin11000011001101001…
…11011011010000100
31020210222011012101010
430030310323122010
5203312111301200
610003524402220
7642430016664
oct141464733204
936728135333
1013100103300
115612737559
122657246370
13130a05051b
148c3b861a4
1551a127150
hex30cd3b684

13100103300 has 144 divisors (see below), whose sum is σ = 39276236160. Its totient is φ = 3367203840.

The previous prime is 13100103283. The next prime is 13100103343. The reversal of 13100103300 is 330100131.

It is a super-2 number, since 2×131001033002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8151097 + ... + 8152703.

It is an arithmetic number, because the mean of its divisors is an integer number (272751640).

Almost surely, 213100103300 is an apocalyptic number.

13100103300 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 13100103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19638118080).

13100103300 is an abundant number, since it is smaller than the sum of its proper divisors (26176132860).

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

13100103300 is a wasteful number, since it uses less digits than its factorization.

13100103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13100103300 its reverse (330100131), we get a palindrome (13430203431).

The spelling of 13100103300 in words is "thirteen billion, one hundred million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 937 1450 1607 1740 1874 2175 2811 2900 3214 3748 4350 4685 4821 5622 6428 8035 8700 9370 9642 11244 14055 16070 18740 19284 23425 24105 27173 28110 32140 40175 46603 46850 48210 54346 56220 70275 80350 81519 93206 93700 96420 108692 120525 135865 139809 140550 160700 163038 186412 233015 241050 271730 279618 281100 326076 407595 466030 482100 543460 559236 679325 699045 815190 932060 1165075 1358650 1398090 1505759 1630380 2037975 2330150 2717300 2796180 3011518 3495225 4075950 4517277 4660300 6023036 6990450 7528795 8151900 9034554 13980900 15057590 18069108 22586385 30115180 37643975 43667011 45172770 75287950 87334022 90345540 112931925 131001033 150575900 174668044 218335055 225863850 262002066 436670110 451727700 524004132 655005165 873340220 1091675275 1310010330 2183350550 2620020660 3275025825 4366701100 6550051650 13100103300