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13134201312300 = 22352315326646787
BaseRepresentation
bin1011111100100000101101…
…1001110101010000101100
31201111121200001221112220120
42333020023121311100230
53210142321013443200
643533434020244540
72523625516053555
oct277101331652054
951447601845816
1013134201312300
114204202261a52
1215815b5540750
1374371c0a8053
143359ad48932c
1517b9b62889a0
hexbf20b67542c

13134201312300 has 144 divisors (see below), whose sum is σ = 39967623908352. Its totient is φ = 3325518892800.

The previous prime is 13134201312289. The next prime is 13134201312307. The reversal of 13134201312300 is 321310243131.

13134201312300 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 2×131342013123002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13134201312307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12830494 + ... + 13816293.

It is an arithmetic number, because the mean of its divisors is an integer number (277552943808).

Almost surely, 213134201312300 is an apocalyptic number.

13134201312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134201312300 is an abundant number, since it is smaller than the sum of its proper divisors (26833422596052).

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

13134201312300 is a wasteful number, since it uses less digits than its factorization.

13134201312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26646888 (or 26646881 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13134201312300 its reverse (321310243131), we get a palindrome (13455511555431).

The spelling of 13134201312300 in words is "thirteen trillion, one hundred thirty-four billion, two hundred one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 53 60 62 75 93 100 106 124 150 155 159 186 212 265 300 310 318 372 465 530 620 636 775 795 930 1060 1325 1550 1590 1643 1860 2325 2650 3100 3180 3286 3975 4650 4929 5300 6572 7950 8215 9300 9858 15900 16430 19716 24645 32860 41075 49290 82150 98580 123225 164300 246450 492900 26646787 53293574 79940361 106587148 133233935 159880722 266467870 319761444 399701805 532935740 666169675 799403610 826050397 1332339350 1412279711 1598807220 1652100794 1998509025 2478151191 2664678700 2824559422 3304201588 3997018050 4130251985 4236839133 4956302382 5649118844 7061398555 7994036100 8260503970 8473678266 9912604764 12390755955 14122797110 16521007940 16947356532 20651259925 21184195665 24781511910 28245594220 35306992775 41302519850 42368391330 43780671041 49563023820 61953779775 70613985550 82605039700 84736782660 87561342082 105920978325 123907559550 131342013123 141227971100 175122684164 211841956650 218903355205 247815119100 262684026246 423683913300 437806710410 525368052492 656710065615 875613420820 1094516776025 1313420131230 2189033552050 2626840262460 3283550328075 4378067104100 6567100656150 13134201312300