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212843108304 = 243243281122327
BaseRepresentation
bin1100011000111001110…
…0000001011111010000
3202100101101212012000100
43012032130001133100
511441400313431204
6241440114252400
721243310366311
oct3061634013720
9670341765010
10212843108304
11822a24275a2
1235300887100
13170c004b148
14a431a8a608
15580ac34a39
hex318e7017d0

212843108304 has 120 divisors (see below), whose sum is σ = 611691867072. Its totient is φ = 69050580480.

The previous prime is 212843108299. The next prime is 212843108327. The reversal of 212843108304 is 403801348212.

It is a happy number.

212843108304 is a `hidden beast` number, since 212 + 8 + 431 + 0 + 8 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1678789 + ... + 1801115.

Almost surely, 2212843108304 is an apocalyptic number.

212843108304 is a gapful number since it is divisible by the number (24) 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 212843108304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305845933536).

212843108304 is an abundant number, since it is smaller than the sum of its proper divisors (398848758768).

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

212843108304 is a wasteful number, since it uses less digits than its factorization.

212843108304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122665 (or 122656 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 212843108304 in words is "two hundred twelve billion, eight hundred forty-three million, one hundred eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 281 344 387 516 562 688 774 843 1032 1124 1548 1686 2064 2248 2529 3096 3372 4496 5058 6192 6744 10116 12083 13488 20232 24166 36249 40464 48332 72498 96664 108747 122327 144996 193328 217494 244654 289992 366981 434988 489308 579984 733962 869976 978616 1100943 1467924 1739952 1957232 2201886 2935848 4403772 5260061 5871696 8807544 10520122 15780183 17615088 21040244 31560366 34373887 42080488 47340549 63120732 68747774 84160976 94681098 103121661 126241464 137495548 189362196 206243322 252482928 274991096 309364983 378724392 412486644 549982192 618729966 757448784 824973288 1237459932 1478077141 1649946576 2474919864 2956154282 4434231423 4949839728 5912308564 8868462846 11824617128 13302694269 17736925692 23649234256 26605388538 35473851384 53210777076 70947702768 106421554152 212843108304