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13201202312300 = 225219127156734913
BaseRepresentation
bin1100000000011010010011…
…1110010111010001101100
31201202000121111011000012002
43000012210332113101230
53212242030242443200
644024314300231432
72531520046134152
oct300064476272154
951660544130162
1013201202312300
11422a664606a22
121592593b3b578
13749b390cb392
14338d27a793d2
1517d5d8451bd5
hexc01a4f9746c

13201202312300 has 144 divisors (see below), whose sum is σ = 30412026839040. Its totient is φ = 4959861258240.

The previous prime is 13201202312299. The next prime is 13201202312329. The reversal of 13201202312300 is 321320210231.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 378099644 + ... + 378134556.

Almost surely, 213201202312300 is an apocalyptic number.

13201202312300 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 13201202312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206013419520).

13201202312300 is an abundant number, since it is smaller than the sum of its proper divisors (17210824526740).

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

13201202312300 is a wasteful number, since it uses less digits than its factorization.

13201202312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36640 (or 36633 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13201202312300 its reverse (321320210231), we get a palindrome (13522522522531).

The spelling of 13201202312300 in words is "thirteen trillion, two hundred one billion, two hundred two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 127 190 254 380 475 508 635 950 1270 1567 1900 2413 2540 3134 3175 4826 6268 6350 7835 9652 12065 12700 15670 24130 29773 31340 34913 39175 48260 59546 60325 69826 78350 119092 120650 139652 148865 156700 174565 199009 241300 297730 349130 398018 595460 663347 698260 744325 796036 872825 995045 1326694 1488650 1745650 1990090 2653388 2977300 3316735 3491300 3781171 3980180 4433951 4975225 6633470 7562342 8867902 9950450 13266940 15124684 16583675 17735804 18905855 19900900 22169755 33167350 37811710 44339510 54708671 66334700 75623420 84245069 88679020 94529275 109417342 110848775 168490138 189058550 218834684 221697550 273543355 336980276 378117100 421225345 443395100 547086710 842450690 1039464749 1094173420 1367716775 1684901380 2078929498 2106126725 2735433550 4157858996 4212253450 5197323745 5470867100 6948001217 8424506900 10394647490 13896002434 20789294980 25986618725 27792004868 34740006085 51973237450 69480012170 103946474900 132012023123 138960024340 173700030425 264024046246 347400060850 528048092492 660060115615 694800121700 1320120231230 2640240462460 3300300578075 6600601156150 13201202312300