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2210041021314 = 237260130834057
BaseRepresentation
bin100000001010010000101…
…101011100001110000010
321211021111120002021020210
4200022100231130032002
5242202131000140224
64411140121014550
7315445606504500
oct40122055341602
97737446067223
102210041021314
117823005a4a05
122b83a2324456
13130537c04379
1478d76331670
153c74cc14429
hex20290b5c382

2210041021314 has 96 divisors (see below), whose sum is σ = 5153223813696. Its totient is φ = 630029836800.

The previous prime is 2210041021241. The next prime is 2210041021393. The reversal of 2210041021314 is 4131201400122.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 544745574 + ... + 544749630.

It is an arithmetic number, because the mean of its divisors is an integer number (53679414726).

Almost surely, 22210041021314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210041021314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576611906848).

2210041021314 is an abundant number, since it is smaller than the sum of its proper divisors (2943182792382).

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

2210041021314 is a wasteful number, since it uses less digits than its factorization.

2210041021314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7760 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2210041021314 its reverse (4131201400122), we get a palindrome (6341242421436).

The spelling of 2210041021314 in words is "two trillion, two hundred ten billion, forty-one million, twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 601 1202 1803 3083 3606 4057 4207 6166 8114 8414 9249 12171 12621 18498 21581 24342 25242 28399 29449 43162 56798 58898 64743 85197 88347 129486 151067 170394 176694 198793 302134 397586 453201 596379 906402 1192758 1852883 2438257 3705766 4876514 5558649 7314771 11117298 12507731 12970181 14629542 17067799 25015462 25940362 34135598 37523193 38910543 51203397 75046386 77821086 87554117 90791267 102406794 119474593 175108234 181582534 238949186 262662351 272373801 358423779 525324702 544747602 612878819 716847558 1225757638 1838636457 3677272914 7517146331 15034292662 22551438993 45102877986 52620024317 105240048634 157860072951 315720145902 368340170219 736680340438 1105020510657 2210041021314