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13113203300 = 225217371631279
BaseRepresentation
bin11000011011001101…
…11001101001100100
31020211212210202012022
430031212321221210
5203323440001200
610005113242312
7642646250261
oct141546715144
936755722168
1013113203300
11561a0747aa
12265b703398
13130c9890c2
148c57d6268
1551b363885
hex30d9b9a64

13113203300 has 144 divisors (see below), whose sum is σ = 31158005760. Its totient is φ = 4770109440.

The previous prime is 13113203291. The next prime is 13113203303. The reversal of 13113203300 is 330231131.

13113203300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131132033002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (13113203303) by changing a digit.

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, 10252061 + ... + 10253339.

It is an arithmetic number, because the mean of its divisors is an integer number (216375040).

Almost surely, 213113203300 is an apocalyptic number.

13113203300 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 13113203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579002880).

13113203300 is an abundant number, since it is smaller than the sum of its proper divisors (18044802460).

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

13113203300 is a wasteful number, since it uses less digits than its factorization.

13113203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13113203300 its reverse (330231131), we get a palindrome (13443434431).

The spelling of 13113203300 in words is "thirteen billion, one hundred thirteen million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 148 163 170 185 326 340 370 425 629 652 740 815 850 925 1258 1279 1630 1700 1850 2516 2558 2771 3145 3260 3700 4075 5116 5542 6031 6290 6395 8150 11084 12062 12580 12790 13855 15725 16300 21743 24124 25580 27710 30155 31450 31975 43486 47323 55420 60310 62900 63950 69275 86972 94646 102527 108715 120620 127900 138550 150775 189292 205054 208477 217430 236615 277100 301550 410108 416954 434860 473230 512635 543575 603100 804491 833908 946460 1025270 1042385 1087150 1183075 1608982 2050540 2084770 2174300 2366150 2563175 3217964 3544109 4022455 4169540 4732300 5126350 5211925 7088218 7713649 8044910 10252700 10423850 14176436 15427298 16089820 17720545 20112275 20847700 30854596 35441090 38568245 40224550 70882180 77136490 80449100 88602725 131132033 154272980 177205450 192841225 262264066 354410900 385682450 524528132 655660165 771364900 1311320330 2622640660 3278300825 6556601650 13113203300