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20110211002000 = 245371975602297
BaseRepresentation
bin1001001001010010001011…
…11110111010111010010000
32122012111222011220111100201
410210221011332322322100
510113441203004031000
6110434300422224544
74143625530051340
oct444510576727220
978174864814321
1020110211002000
116453768925069
1223095b0b85154
13b2b50041a8a2
144d74a7488d20
1524d1a575c96a
hex124a45fbae90

20110211002000 has 160 divisors (see below), whose sum is σ = 58498034100480. Its totient is φ = 6532038374400.

The previous prime is 20110211001913. The next prime is 20110211002003. The reversal of 20110211002000 is 20011201102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20110211002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37535149 + ... + 38067148.

It is an arithmetic number, because the mean of its divisors is an integer number (365612713128).

Almost surely, 220110211002000 is an apocalyptic number.

20110211002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110211002000 is an abundant number, since it is smaller than the sum of its proper divisors (38387823098480).

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

20110211002000 is a wasteful number, since it uses less digits than its factorization.

20110211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75602346 (or 75602330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110211002000 its reverse (20011201102), we get a palindrome (20130222203102).

The spelling of 20110211002000 in words is "twenty trillion, one hundred ten billion, two hundred eleven million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 175 190 200 250 266 280 304 350 380 400 475 500 532 560 665 700 760 875 950 1000 1064 1330 1400 1520 1750 1900 2000 2128 2375 2660 2800 3325 3500 3800 4750 5320 6650 7000 7600 9500 10640 13300 14000 16625 19000 26600 33250 38000 53200 66500 133000 266000 75602297 151204594 302409188 378011485 529216079 604818376 756022970 1058432158 1209636752 1436443643 1512045940 1890057425 2116864316 2646080395 2872887286 3024091880 3780114850 4233728632 5292160790 5745774572 6048183760 7182218215 7560229700 8467457264 9450287125 10055105501 10584321580 11491549144 13230401975 14364436430 15120459400 18900574250 20110211002 21168643160 22983098288 26460803950 28728872860 30240918800 35911091075 37801148500 40220422004 42337286320 50275527505 52921607900 57457745720 66152009875 71822182150 75602297000 80440844008 100551055010 105843215800 114915491440 132304019750 143644364300 151204594000 160881688016 179555455375 201102110020 211686431600 251377637525 264608039500 287288728600 359110910750 402204220040 502755275050 529216079000 574577457200 718221821500 804408440080 1005510550100 1058432158000 1256888187625 1436443643000 2011021100200 2513776375250 2872887286000 4022042200400 5027552750500 10055105501000 20110211002000