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2010221121210 = 235612131515477
BaseRepresentation
bin11101010000001010100…
…001000000111010111010
321010011201202200121100220
4131100022201000322322
5230413413101334320
64135252143040510
7265143103413201
oct35201241007272
97104652617326
102010221121210
117055914644a5
12285716ba0136
13117741cc26a3
146d41c132238
15374554b7e40
hex1d40a840eba

2010221121210 has 64 divisors (see below), whose sum is σ = 4905931964544. Its totient is φ = 527022662400.

The previous prime is 2010221121187. The next prime is 2010221121221. The reversal of 2010221121210 is 121211220102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010221121210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3641992 + ... + 4157468.

It is an arithmetic number, because the mean of its divisors is an integer number (76655186946).

Almost surely, 22010221121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010221121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452965982272).

2010221121210 is an abundant number, since it is smaller than the sum of its proper divisors (2895710843334).

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

2010221121210 is a wasteful number, since it uses less digits than its factorization.

2010221121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517679.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2010221121210 its reverse (121211220102), we get a palindrome (2131432341312).

The spelling of 2010221121210 in words is "two trillion, ten billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 2131 4262 6393 10655 12786 21310 31965 63930 129991 259982 389973 515477 649955 779946 1030954 1299910 1546431 1949865 2577385 3092862 3899730 5154770 7732155 15464310 31444097 62888194 94332291 157220485 188664582 314440970 471661455 943322910 1098481487 2196962974 3295444461 5492407435 6590888922 10984814870 16477222305 32954444610 67007370707 134014741414 201022112121 335036853535 402044224242 670073707070 1005110560605 2010221121210