Search a number
-
+
2125250125200 = 243352196782419
BaseRepresentation
bin11110111011010010110…
…001110101110110010000
321112011122100001110022000
4132323102301311312100
5234310003013001300
64304154301514000
7306354452000646
oct36732261656620
97464570043260
102125250125200
1174a34a321754
122a3a79b72900
131255443649a7
1474c111a7196
153a438d45c00
hex1eed2c75d90

2125250125200 has 120 divisors (see below), whose sum is σ = 7564316224800. Its totient is φ = 566733363840.

The previous prime is 2125250125177. The next prime is 2125250125253. The reversal of 2125250125200 is 25210525212.

It is a happy number.

2125250125200 is a `hidden beast` number, since 2 + 12 + 525 + 0 + 125 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98380410 + ... + 98402009.

It is an arithmetic number, because the mean of its divisors is an integer number (63035968540).

Almost surely, 22125250125200 is an apocalyptic number.

2125250125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125250125200 is an abundant number, since it is smaller than the sum of its proper divisors (5439066099600).

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

2125250125200 is a wasteful number, since it uses less digits than its factorization.

2125250125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196782446 (or 196782429 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 2125250125200 in words is "two trillion, one hundred twenty-five billion, two hundred fifty million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 196782419 393564838 590347257 787129676 983912095 1180694514 1574259352 1771041771 1967824190 2361389028 2951736285 3148518704 3542083542 3935648380 4722778056 4919560475 5313125313 5903472570 7084167084 7871296760 8855208855 9445556112 9839120950 10626250626 11806945140 14168334168 14758681425 15742593520 17710417710 19678241900 21252501252 23613890280 26565626565 28336668336 29517362850 35420835420 39356483800 42505002504 44276044275 47227780560 53131253130 59034725700 70841670840 78712967600 85010005008 88552088550 106262506260 118069451400 132828132825 141683341680 177104177100 212525012520 236138902800 265656265650 354208354200 425050025040 531312531300 708416708400 1062625062600 2125250125200