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2102213226366 = 2321129418929553
BaseRepresentation
bin11110100101110101101…
…011000010111101111110
321102222011212001202000200
4132211311223002331332
5233420313041220431
64245424325104330
7304610542410411
oct36456553027576
97388155052020
102102213226366
117405a861a690
1229b50ab580a6
131233127566c6
1473a67831b78
1539a3b697ee6
hex1e975ac2f7e

2102213226366 has 96 divisors (see below), whose sum is σ = 5265579402720. Its totient is φ = 600065894400.

The previous prime is 2102213226319. The next prime is 2102213226433. The reversal of 2102213226366 is 6636223122012.

2102213226366 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 2 + 13 + 2 + 2 + 636 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2102213226366.

It is a congruent 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, 4229355 + ... + 4700198.

It is an arithmetic number, because the mean of its divisors is an integer number (54849785445).

Almost surely, 22102213226366 is an apocalyptic number.

2102213226366 is an abundant number, since it is smaller than the sum of its proper divisors (3163366176354).

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

2102213226366 is a wasteful number, since it uses less digits than its factorization.

2102213226366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929642 (or 8929639 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 2102213226366 its reverse (6636223122012), we get a palindrome (8738436348378).

The spelling of 2102213226366 in words is "two trillion, one hundred two billion, two hundred thirteen million, two hundred twenty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 29 33 41 58 66 82 87 99 123 174 198 246 261 319 369 451 522 638 738 902 957 1189 1353 1914 2378 2706 2871 3567 4059 5742 7134 8118 10701 13079 21402 26158 39237 78474 117711 235422 8929553 17859106 26788659 53577318 80365977 98225083 160731954 196450166 258957037 294675249 366111673 517914074 589350498 732223346 776871111 884025747 1098335019 1553742222 1768051494 2196670038 2330613333 2848527407 3295005057 4027228403 4661226666 5697054814 6590010114 8054456806 8545582221 10617238517 12081685209 17091164442 21234477034 24163370418 25636746663 31851715551 36245055627 51273493326 63703431102 72490111254 95555146653 116789623687 191110293306 233579247374 350368871061 700737742122 1051106613183 2102213226366