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2002433313210 = 2351110780970099
BaseRepresentation
bin11101001000111010010…
…100111000100110111010
321002102122000112222011120
4131020322110320212322
5230301440412010320
64131523303210110
7264446110216461
oct35107224704672
97072560488146
102002433313210
11702255447040
12284102a46936
13116aa0715085
146ccbdb019d8
153714b934440
hex1d23a5389ba

2002433313210 has 128 divisors (see below), whose sum is σ = 5298348672000. Its totient is φ = 480300280320.

The previous prime is 2002433313173. The next prime is 2002433313211. The reversal of 2002433313210 is 123133342002.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002433313211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28530741 + ... + 28600839.

It is an arithmetic number, because the mean of its divisors is an integer number (41393349000).

Almost surely, 22002433313210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002433313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649174336000).

2002433313210 is an abundant number, since it is smaller than the sum of its proper divisors (3295915358790).

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

2002433313210 is a wasteful number, since it uses less digits than its factorization.

2002433313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71036.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2002433313210 its reverse (123133342002), we get a palindrome (2125566655212).

The spelling of 2002433313210 in words is "two trillion, two billion, four hundred thirty-three million, three hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 321 330 535 642 809 1070 1177 1605 1618 2354 2427 3210 3531 4045 4854 5885 7062 8090 8899 11770 12135 17655 17798 24270 26697 35310 44495 53394 70099 86563 88990 133485 140198 173126 210297 259689 266970 350495 420594 432815 519378 700990 771089 865630 952193 1051485 1298445 1542178 1904386 2102970 2313267 2596890 2856579 3855445 4626534 4760965 5713158 7500593 7710890 9521930 11566335 14282895 15001186 22501779 23132670 28565790 37502965 45003558 56710091 75005930 82506523 112508895 113420182 165013046 170130273 225017790 247519569 283550455 340260546 412532615 495039138 567100910 623811001 825065230 850651365 1237597845 1247622002 1701302730 1871433003 2475195690 3119055005 3742866006 6067979737 6238110010 9357165015 12135959474 18203939211 18714330030 30339898685 36407878422 60679797370 66747777107 91019696055 133495554214 182039392110 200243331321 333738885535 400486662642 667477771070 1001216656605 2002433313210