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12210131132100 = 223252111233346579
BaseRepresentation
bin1011000110101110010010…
…0001110101111011000100
31121020021111000212121211200
42301223210201311323010
53100022322032211400
641545131245302500
72400103301115546
oct261534441657304
947207430777750
1012210131132100
113988318785550
1214524a4264a30
136a7544920085
14302d8b3d9696
15162930a06b00
hexb1ae4875ec4

12210131132100 has 108 divisors (see below), whose sum is σ = 41751248426160. Its totient is φ = 2960031787200.

The previous prime is 12210131132057. The next prime is 12210131132117. The reversal of 12210131132100 is 123113101221.

12210131132100 is a `hidden beast` number, since 1 + 2 + 210 + 131 + 1 + 321 + 0 + 0 = 666.

12210131132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 616663390 + ... + 616683189.

Almost surely, 212210131132100 is an apocalyptic number.

12210131132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210131132100 is an abundant number, since it is smaller than the sum of its proper divisors (29541117294060).

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

12210131132100 is a wasteful number, since it uses less digits than its factorization.

12210131132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233346610 (or 1233346600 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12210131132100 its reverse (123113101221), we get a palindrome (12333244233321).

The spelling of 12210131132100 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1233346579 2466693158 3700039737 4933386316 6166732895 7400079474 11100119211 12333465790 13566812369 14800158948 18500198685 22200238422 24666931580 27133624738 30833664475 37000397370 40700437107 44400476844 54267249476 55500596055 61667328950 67834061845 74000794740 81400874214 92500993425 111001192110 122101311321 123334657900 135668123690 162801748428 185001986850 203502185535 222002384220 244202622642 271336247380 277502980275 339170309225 370003973700 407004371070 488405245284 555005960550 610506556605 678340618450 814008742140 1017510927675 1110011921100 1221013113210 1356681236900 2035021855350 2442026226420 3052532783025 4070043710700 6105065566050 12210131132100