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2042211120210 = 2325472292108263
BaseRepresentation
bin11101101101111101010…
…001001011010001010010
321020020022012111221011200
4131231331101023101102
5231424422021321320
64202102343452030
7300354616051332
oct35557521132122
97206265457150
102042211120210
11718107a341a8
1228b964457016
1311a76c73c991
1470bb49910c2
15381c8b7b290
hex1db7d44b452

2042211120210 has 96 divisors (see below), whose sum is σ = 5446404887040. Its totient is φ = 530674844544.

The previous prime is 2042211120197. The next prime is 2042211120221. The reversal of 2042211120210 is 120211122402.

2042211120210 is a `hidden beast` number, since 2 + 0 + 422 + 1 + 11 + 20 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85462 + ... + 2022801.

It is an arithmetic number, because the mean of its divisors is an integer number (56733384240).

Almost surely, 22042211120210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042211120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723202443520).

2042211120210 is an abundant number, since it is smaller than the sum of its proper divisors (3404193766830).

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

2042211120210 is a wasteful number, since it uses less digits than its factorization.

2042211120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108552 (or 2108549 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2042211120210 its reverse (120211122402), we get a palindrome (2162422242612).

The spelling of 2042211120210 in words is "two trillion, forty-two billion, two hundred eleven million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 229 235 282 423 458 470 687 705 846 1145 1374 1410 2061 2115 2290 3435 4122 4230 6870 10305 10763 20610 21526 32289 53815 64578 96867 107630 161445 193734 322890 484335 968670 2108263 4216526 6324789 10541315 12649578 18974367 21082630 31623945 37948734 63247890 94871835 99088361 189743670 198176722 297265083 482792227 495441805 594530166 891795249 965584454 990883610 1448376681 1486325415 1783590498 2413961135 2896753362 2972650830 4345130043 4458976245 4827922270 7241883405 8690260086 8917952490 14483766810 21725650215 22691234669 43451300430 45382469338 68073704007 113456173345 136147408014 204221112021 226912346690 340368520035 408442224042 680737040070 1021105560105 2042211120210