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2210201020200 = 2335214332570599
BaseRepresentation
bin100000001010011010001…
…111110010011100101000
321211021220201011001110110
4200022122033302130220
5242202442430121300
64411204034214320
7315452561460525
oct40123217623450
97737821131413
102210201020200
11782382946498
122b8427a243a0
131305620c4474
1478d8d6a014c
153c75bcbb550
hex2029a3f2728

2210201020200 has 96 divisors (see below), whose sum is σ = 6856407144000. Its totient is φ = 588975413760.

The previous prime is 2210201020171. The next prime is 2210201020229. The reversal of 2210201020200 is 20201020122.

It is an interprime number because it is at equal distance from previous prime (2210201020171) and next prime (2210201020229).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425500 + ... + 2145099.

It is an arithmetic number, because the mean of its divisors is an integer number (71420907750).

Almost surely, 22210201020200 is an apocalyptic number.

2210201020200 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 2210201020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428203572000).

2210201020200 is an abundant number, since it is smaller than the sum of its proper divisors (4646206123800).

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

2210201020200 is a wasteful number, since it uses less digits than its factorization.

2210201020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572051 (or 2572042 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2210201020200 its reverse (20201020122), we get a palindrome (2230402040322).

The spelling of 2210201020200 in words is "two trillion, two hundred ten billion, two hundred one million, twenty 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 1433 2866 4299 5732 7165 8598 11464 14330 17196 21495 28660 34392 35825 42990 57320 71650 85980 107475 143300 171960 214950 286600 429900 859800 2570599 5141198 7711797 10282396 12852995 15423594 20564792 25705990 30847188 38558985 51411980 61694376 64264975 77117970 102823960 128529950 154235940 192794925 257059900 308471880 385589850 514119800 771179700 1542359400 3683668367 7367336734 11051005101 14734673468 18418341835 22102010202 29469346936 36836683670 44204020404 55255025505 73673367340 88408040808 92091709175 110510051010 147346734680 184183418350 221020102020 276275127525 368366836700 442040204040 552550255050 736733673400 1105100510100 2210201020200