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2010120200 = 2352111922531
BaseRepresentation
bin111011111010000…
…0000000000001000
312012002101200112022
41313310000000020
513104042321300
6531243504012
7100545511514
oct16764000010
95162350468
102010120200
1194172a070
12481228008
132605ab84a
14150d71144
15bb711285
hex77d00008

2010120200 has 144 divisors (see below), whose sum is σ = 5382981360. Its totient is φ = 692208000.

The previous prime is 2010120179. The next prime is 2010120209. The reversal of 2010120200 is 20210102.

2010120200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2010120209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 792935 + ... + 795465.

It is an arithmetic number, because the mean of its divisors is an integer number (37381815).

Almost surely, 22010120200 is an apocalyptic number.

2010120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691490680).

2010120200 is an abundant number, since it is smaller than the sum of its proper divisors (3372861160).

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

2010120200 is a wasteful number, since it uses less digits than its factorization.

2010120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2568 counting only the distinct ones).

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

The square root of 2010120200 is about 44834.3640525881. The cubic root of 2010120200 is about 1262.0425843512.

Adding to 2010120200 its reverse (20210102), we get a palindrome (2030330302).

The spelling of 2010120200 in words is "two billion, ten million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 361 380 418 440 475 550 722 760 836 950 1045 1100 1444 1672 1805 1900 2090 2200 2531 2888 3610 3800 3971 4180 5062 5225 7220 7942 8360 9025 10124 10450 12655 14440 15884 18050 19855 20248 20900 25310 27841 31768 36100 39710 41800 48089 50620 55682 63275 72200 79420 96178 99275 101240 111364 126550 139205 158840 192356 198550 222728 240445 253100 278410 384712 397100 480890 506200 528979 556820 696025 794200 913691 961780 1057958 1113640 1202225 1392050 1827382 1923560 2115916 2404450 2644895 2784100 3654764 4231832 4568455 4808900 5289790 5568200 7309528 9136910 9617800 10050601 10579580 13224475 18273820 20101202 21159160 22842275 26448950 36547640 40202404 45684550 50253005 52897900 80404808 91369100 100506010 105795800 182738200 201012020 251265025 402024040 502530050 1005060100 2010120200