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201012210010200 = 23352764343833619
BaseRepresentation
bin101101101101000111001101…
…010111111000100001011000
3222100201120122112100021020110
4231231013031113320201120
5202321341001230311300
61551303422350524320
760224436644406111
oct5555071527704130
9870646575307213
10201012210010200
115905988819a666
121a66561a5066a0
1388214a706c914
14378d085915208
151838bc770b550
hexb6d1cd5f8858

201012210010200 has 96 divisors (see below), whose sum is σ = 623219395780800. Its totient is φ = 53596241400960.

The previous prime is 201012210010153. The next prime is 201012210010207. The reversal of 201012210010200 is 2010012210102.

201012210010200 is digitally balanced in base 3, 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012210010207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17331010 + ... + 26502609.

It is an arithmetic number, because the mean of its divisors is an integer number (6491868706050).

Almost surely, 2201012210010200 is an apocalyptic number.

201012210010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012210010200 is an abundant number, since it is smaller than the sum of its proper divisors (422207185770600).

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

201012210010200 is a wasteful number, since it uses less digits than its factorization.

201012210010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43841281 (or 43841272 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201012210010200 its reverse (2010012210102), we get a palindrome (203022222220302).

The spelling of 201012210010200 in words is "two hundred one trillion, twelve billion, two hundred ten million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 7643 15286 22929 30572 38215 45858 61144 76430 91716 114645 152860 183432 191075 229290 305720 382150 458580 573225 764300 917160 1146450 1528600 2292900 4585800 43833619 87667238 131500857 175334476 219168095 263001714 350668952 438336190 526003428 657504285 876672380 1052006856 1095840475 1315008570 1753344760 2191680950 2630017140 3287521425 4383361900 5260034280 6575042850 8766723800 13150085700 26300171400 335020350017 670040700034 1005061050051 1340081400068 1675101750085 2010122100102 2680162800136 3350203500170 4020244200204 5025305250255 6700407000340 8040488400408 8375508750425 10050610500510 13400814000680 16751017500850 20101221001020 25126526251275 33502035001700 40202442002040 50253052502550 67004070003400 100506105005100 201012210010200