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12100011101010 = 2325760731641461
BaseRepresentation
bin1011000000010100000011…
…0111010000101101010010
31120211202020120121102202200
42300011000313100231102
53041221310320213020
641422400211024030
72356124361234330
oct260050067205522
946752216542680
1012100011101010
113945649902298
12143509129b016
1369a0455b8071
142db9022ccb50
1515eb380ee590
hexb0140dd0b52

12100011101010 has 96 divisors (see below), whose sum is σ = 36013552653312. Its totient is φ = 2761160365440.

The previous prime is 12100011100963. The next prime is 12100011101021. The reversal of 12100011101010 is 1010111000121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12100011100983 and 12100011101001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15438321 + ... + 16203140.

It is an arithmetic number, because the mean of its divisors is an integer number (375141173472).

Almost surely, 212100011101010 is an apocalyptic number.

12100011101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100011101010 is an abundant number, since it is smaller than the sum of its proper divisors (23913541552302).

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

12100011101010 is a wasteful number, since it uses less digits than its factorization.

12100011101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31642088 (or 31642085 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12100011101010 its reverse (1010111000121), we get a palindrome (13110122101131).

The spelling of 12100011101010 in words is "twelve trillion, one hundred billion, eleven million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 607 630 1214 1821 3035 3642 4249 5463 6070 8498 9105 10926 12747 18210 21245 25494 27315 38241 42490 54630 63735 76482 127470 191205 382410 31641461 63282922 94924383 158207305 189848766 221490227 284773149 316414610 442980454 474621915 569546298 664470681 949243830 1107451135 1328941362 1423865745 1993412043 2214902270 2847731490 3322353405 3986824086 6644706810 9967060215 19206366827 19934120430 38412733654 57619100481 96031834135 115238200962 134444567789 172857301443 192063668270 268889135578 288095502405 345714602886 403333703367 576191004810 672222838945 806667406734 864286507215 1210001110101 1344445677890 1728573014430 2016668516835 2420002220202 4033337033670 6050005550505 12100011101010