Search a number
-
+
32020002102000 = 2435311485151547
BaseRepresentation
bin1110100011111001111001…
…10110011101101011110000
311012101002020000000200002210
413101330330312131223300
513144103431014231000
6152033441430412120
76513240334064403
oct721747466355360
9135332200020083
1032020002102000
11a225674477150
123711835b01040
1314b361c935c23
147c9ac250bd3a
153a7da8cda350
hex1d1f3cd9daf0

32020002102000 has 160 divisors (see below), whose sum is σ = 112617258534144. Its totient is φ = 7762424736000.

The previous prime is 32020002101929. The next prime is 32020002102091. The reversal of 32020002102000 is 20120002023.

It is a super-2 number, since 2×320200021020002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242509774 + ... + 242641773.

Almost surely, 232020002102000 is an apocalyptic number.

32020002102000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32020002102000 is an abundant number, since it is smaller than the sum of its proper divisors (80597256432144).

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

32020002102000 is a wasteful number, since it uses less digits than its factorization.

32020002102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485151584 (or 485151568 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 32020002102000 its reverse (20120002023), we get a palindrome (32040122104023).

The spelling of 32020002102000 in words is "thirty-two trillion, twenty billion, two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 485151547 970303094 1455454641 1940606188 2425757735 2910909282 3881212376 4851515470 5336667017 5821818564 7277273205 7762424752 9703030940 10673334034 11643637128 12128788675 14554546410 16010001051 19406061880 21346668068 23287274256 24257577350 26683335085 29109092820 32020002102 36386366025 38812123760 42693336136 48515154700 53366670170 58218185640 60643943375 64040004204 72772732050 80050005255 85386672272 97030309400 106733340340 116436371280 121287886750 128080008408 133416675425 145545464100 160100010510 181931830125 194060618800 213466680680 242575773500 256160016816 266833350850 291090928200 320200021020 363863660250 400250026275 426933361360 485151547000 533666701700 582181856400 640400042040 667083377125 727727320500 800500052550 970303094000 1067333403400 1280800084080 1334166754250 1455454641000 1601000105100 2001250131375 2134666806800 2668333508500 2910909282000 3202000210200 4002500262750 5336667017000 6404000420400 8005000525500 10673334034000 16010001051000 32020002102000