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13302214124100 = 22352115732970313
BaseRepresentation
bin1100000110010010100110…
…1111110110001001000100
31202002200100011200201021220
43001210221233312021010
53220420413303432400
644142541450040340
72542024160310246
oct301445157661104
952080304621256
1013302214124100
11426948a0a3220
1215aa0847190b0
13756516422415
1433db8b240096
1518104b4027a0
hexc1929bf6244

13302214124100 has 144 divisors (see below), whose sum is σ = 41987954473920. Its totient is φ = 3224677068800.

The previous prime is 13302214124063. The next prime is 13302214124123. The reversal of 13302214124100 is 142141220331.

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, 189150544 + ... + 189220856.

It is an arithmetic number, because the mean of its divisors is an integer number (291583017180).

Almost surely, 213302214124100 is an apocalyptic number.

13302214124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302214124100 is an abundant number, since it is smaller than the sum of its proper divisors (28685740349820).

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

13302214124100 is a wasteful number, since it uses less digits than its factorization.

13302214124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127670 (or 127663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13302214124100 its reverse (142141220331), we get a palindrome (13444355344431).

The spelling of 13302214124100 in words is "thirteen trillion, three hundred two billion, two hundred fourteen million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 57329 70313 114658 140626 171987 210939 229316 281252 286645 343974 351565 421878 573290 630619 687948 703130 773443 843756 859935 1054695 1146580 1261238 1406260 1433225 1546886 1719870 1757825 1891857 2109390 2320329 2522476 2866450 3093772 3153095 3439740 3515650 3783714 3867215 4218780 4299675 4640658 5273475 5732900 6306190 7031300 7567428 7734430 8599350 9281316 9459285 10546950 11601645 12612380 15468860 15765475 17198700 18918570 19336075 21093900 23203290 31530950 37837140 38672150 46406580 47296425 58008225 63061900 77344300 94592850 116016450 189185700 232032900 4030973977 8061947954 12092921931 16123895908 20154869885 24185843862 40309739770 44340713747 48371687724 60464609655 80619479540 88681427494 100774349425 120929219310 133022141241 177362854988 201548698850 221703568735 241858438620 266044282482 302323048275 403097397700 443407137470 532088564964 604646096550 665110706205 886814274940 1108517843675 1209292193100 1330221412410 2217035687350 2660442824820 3325553531025 4434071374700 6651107062050 13302214124100