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13123212033300 = 2235271920366947
BaseRepresentation
bin1011111011110111110001…
…1001000011110100010100
31201110120022012200100010020
42332331330121003310110
53210002314240031200
643524415334025140
72523056266532355
oct276757431036424
951416265610106
1013123212033300
1141aa583086a96
12157b4491a81b0
1374268a4654b5
14335249ba9d2c
1517b571615ea0
hexbef7c643d14

13123212033300 has 144 divisors (see below), whose sum is σ = 38509372242432. Its totient is φ = 3449807715200.

The previous prime is 13123212033257. The next prime is 13123212033329. The reversal of 13123212033300 is 333021232131.

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, 195990427 + ... + 196057373.

It is an arithmetic number, because the mean of its divisors is an integer number (267426196128).

Almost surely, 213123212033300 is an apocalyptic number.

13123212033300 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 13123212033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254686121216).

13123212033300 is an abundant number, since it is smaller than the sum of its proper divisors (25386160209132).

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

13123212033300 is a wasteful number, since it uses less digits than its factorization.

13123212033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76238 (or 76231 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13123212033300 its reverse (333021232131), we get a palindrome (13456233265431).

The spelling of 13123212033300 in words is "thirteen trillion, one hundred twenty-three billion, two hundred twelve million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 9203 10650 18406 21300 27609 36812 46015 55218 66947 92030 110436 133894 138045 184060 200841 230075 267788 276090 334735 401682 460150 552180 653413 669470 690225 803364 920300 1004205 1306826 1338940 1380450 1673675 1960239 2008410 2613652 2760900 3267065 3347350 3920478 4016820 4753237 5021025 6534130 6694700 7840956 9506474 9801195 10042050 13068260 14259711 16335325 19012948 19602390 20084100 23766185 28519422 32670650 39204780 47532370 49005975 57038844 65341300 71298555 95064740 98011950 118830925 142597110 196023900 237661850 285194220 356492775 475323700 616113241 712985550 1232226482 1425971100 1848339723 2464452964 3080566205 3696679446 6161132410 7393358892 9241698615 12322264820 15402831025 18483397230 30805662050 36966794460 43744040111 46208493075 61611324100 87488080222 92416986150 131232120333 174976160444 184833972300 218720200555 262464240666 437440401110 524928481332 656160601665 874880802220 1093601002775 1312321203330 2187202005550 2624642406660 3280803008325 4374404011100 6561606016650 13123212033300