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212302312202304 = 2632379961632517
BaseRepresentation
bin110000010001011001111011…
…111001110110000001000000
31000211200220101011110020101100
4300101121323321312001000
5210311330113410433204
62031310200311134400
762501223131545242
oct6021317371660100
91024626334406340
10212302312202304
11617119a558a245
121b98973a974400
1391600398355bc
143a5d6b586c092
15198270c650a39
hexc1167be76040

212302312202304 has 84 divisors (see below), whose sum is σ = 624972900914284. Its totient is φ = 68854803950592.

The previous prime is 212302312202273. The next prime is 212302312202327. The reversal of 212302312202304 is 403202213203212.

212302312202304 is a `hidden beast` number, since 2 + 1 + 2 + 302 + 3 + 122 + 0 + 230 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153513289442304 + 58789022760000 = 12390048^2 + 7667400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4980794947 + ... + 4980837570.

Almost surely, 2212302312202304 is an apocalyptic number.

212302312202304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212302312202304 is an abundant number, since it is smaller than the sum of its proper divisors (412670588711980).

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

212302312202304 is a wasteful number, since it uses less digits than its factorization.

212302312202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961632572 (or 9961632559 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 212302312202304 its reverse (403202213203212), we get a palindrome (615504525405516).

The spelling of 212302312202304 in words is "two hundred twelve trillion, three hundred two billion, three hundred twelve million, two hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 21312 9961632517 19923265034 29884897551 39846530068 59769795102 79693060136 89654692653 119539590204 159386120272 179309385306 239079180408 318772240544 358618770612 368580403129 478158360816 637544481088 717237541224 737160806258 956316721632 1105741209387 1434475082448 1474321612516 1912633443264 2211482418774 2868950164896 2948643225032 3317223628161 4422964837548 5737900329792 5897286450064 6634447256322 8845929675096 11794572900128 13268894512644 17691859350192 23589145800256 26537789025288 35383718700384 53075578050576 70767437400768 106151156101152 212302312202304