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13201313300 = 22527294571423
BaseRepresentation
bin11000100101101110…
…00000111000010100
31021002000121012101122
430102313000320110
5204014014011200
610021541543112
7645066211610
oct142267007024
937060535348
1013201313300
11566488508a
122685114a98
131324cc89b6
148d33b0340
15523e6a385
hex312dc0e14

13201313300 has 144 divisors (see below), whose sum is σ = 33966159360. Its totient is φ = 4357463040.

The previous prime is 13201313273. The next prime is 13201313317. The reversal of 13201313300 is 331310231.

It is a congruent number.

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, 9276389 + ... + 9277811.

Almost surely, 213201313300 is an apocalyptic number.

13201313300 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 13201313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983079680).

13201313300 is an abundant number, since it is smaller than the sum of its proper divisors (20764846060).

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

13201313300 is a wasteful number, since it uses less digits than its factorization.

13201313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1923 counting only the distinct ones).

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

Adding to 13201313300 its reverse (331310231), we get a palindrome (13532623531).

The spelling of 13201313300 in words is "thirteen billion, two hundred one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 457 580 700 725 812 914 1015 1423 1450 1828 2030 2285 2846 2900 3199 4060 4570 5075 5692 6398 7115 9140 9961 10150 11425 12796 13253 14230 15995 19922 20300 22850 26506 28460 31990 35575 39844 41267 45700 49805 53012 63980 66265 71150 79975 82534 92771 99610 132530 142300 159950 165068 185542 199220 206335 249025 265060 288869 319900 331325 371084 412670 463855 498050 577738 650311 662650 825340 927710 996100 1031675 1155476 1300622 1325300 1444345 1855420 2063350 2319275 2601244 2888690 3251555 4126700 4552177 4638550 5777380 6503110 7221725 9104354 9277100 13006220 14443450 16257775 18208708 18859019 22760885 28886900 32515550 37718038 45521770 65031100 75436076 91043540 94295095 113804425 132013133 188590190 227608850 264026266 377180380 455217700 471475475 528052532 660065665 942950950 1320131330 1885901900 2640262660 3300328325 6600656650 13201313300