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2210110212020 = 2251721193320513
BaseRepresentation
bin100000001010010100110…
…101011000011110110100
321211021200101021112001112
4200022110311120132310
5242202301203241040
64411151032014152
7315450406560614
oct40122465303664
97737611245045
102210110212020
11782336662a07
122b8401531358
1313054934b709
1478d815c2a44
153c753d30365
hex20294d587b4

2210110212020 has 72 divisors (see below), whose sum is σ = 4934452774104. Its totient is φ = 831341461504.

The previous prime is 2210110212019. The next prime is 2210110212029. The reversal of 2210110212020 is 202120110122.

It can be written as a sum of positive squares in 12 ways, for example, as 193420521616 + 2016689690404 = 439796^2 + 1420102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2210110211986 and 2210110212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210110212029) 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, 6735284 + ... + 7055796.

It is an arithmetic number, because the mean of its divisors is an integer number (68534066307).

Almost surely, 22210110212020 is an apocalyptic number.

2210110212020 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 2210110212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467226387052).

2210110212020 is an abundant number, since it is smaller than the sum of its proper divisors (2724342562084).

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

2210110212020 is a wasteful number, since it uses less digits than its factorization.

2210110212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321749 (or 321730 counting only the distinct ones).

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

Adding to 2210110212020 its reverse (202120110122), we get a palindrome (2412230322142).

The spelling of 2210110212020 in words is "two trillion, two hundred ten billion, one hundred ten million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1193 1445 2386 2890 4772 5780 5965 11930 20281 23860 40562 81124 101405 202810 320513 344777 405620 641026 689554 1282052 1379108 1602565 1723885 3205130 3447770 5448721 6410260 6895540 10897442 21794884 27243605 54487210 92628257 108974420 185256514 370513028 382372009 463141285 764744018 926282570 1529488036 1852565140 1911860045 3823720090 6500324153 7647440180 13000648306 26001296612 32501620765 65003241530 110505510601 130006483060 221011021202 442022042404 552527553005 1105055106010 2210110212020