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2010201112220 = 225741461759673
BaseRepresentation
bin11101010000001001010…
…100101011111010011100
321010011200101001001012012
4131100021110223322130
5230413342441042340
64135250150130352
7265142441346020
oct35201124537234
97104611031165
102010201112220
11705581138444
122857103509b8
1311773ab08152
146d419604380
1537453864565
hex1d40952be9c

2010201112220 has 96 divisors (see below), whose sum is σ = 4952880003456. Its totient is φ = 670942310400.

The previous prime is 2010201112219. The next prime is 2010201112307. The reversal of 2010201112220 is 222111020102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2010201112195 and 2010201112204.

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, 2266304 + ... + 3025976.

It is an arithmetic number, because the mean of its divisors is an integer number (51592500036).

Almost surely, 22010201112220 is an apocalyptic number.

2010201112220 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 2010201112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476440001728).

2010201112220 is an abundant number, since it is smaller than the sum of its proper divisors (2942678891236).

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

2010201112220 is a wasteful number, since it uses less digits than its factorization.

2010201112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760191 (or 760189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2010201112220 its reverse (222111020102), we get a palindrome (2232312132322).

The spelling of 2010201112220 in words is "two trillion, ten billion, two hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 461 574 820 922 1148 1435 1844 2305 2870 3227 4610 5740 6454 9220 12908 16135 18901 32270 37802 64540 75604 94505 132307 189010 264614 378020 529228 661535 759673 1323070 1519346 2646140 3038692 3798365 5317711 7596730 10635422 15193460 21270844 26588555 31146593 53177110 62293186 106354220 124586372 155732965 218026151 311465930 350209253 436052302 622931860 700418506 872104604 1090130755 1400837012 1751046265 2180261510 2451464771 3502092530 4360523020 4902929542 7004185060 9805859084 12257323855 14358579373 24514647710 28717158746 49029295420 57434317492 71792896865 100510055611 143585793730 201020111222 287171587460 402040222444 502550278055 1005100556110 2010201112220