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213313301005104 = 243223277232513321
BaseRepresentation
bin110000100000000111011111…
…100010000100001100110000
31000222021112220201020200102200
4300200013133202010030300
5210424411120024130404
62033402435545543200
762634243311563236
oct6040073742041460
91028245821220380
10213313301005104
1161a71732395343
121bb11668aa4b00
139204486608001
143a965c14ac956
15199db7d993839
hexc201df884330

213313301005104 has 120 divisors (see below), whose sum is σ = 625185540406752. Its totient is φ = 67767402193920.

The previous prime is 213313301005099. The next prime is 213313301005121. The reversal of 213313301005104 is 401500103313312.

213313301005104 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 13 + 30 + 100 + 510 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115339237 + ... + 117174084.

Almost surely, 2213313301005104 is an apocalyptic number.

213313301005104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213313301005104 is an abundant number, since it is smaller than the sum of its proper divisors (411872239401648).

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

213313301005104 is a wasteful number, since it uses less digits than its factorization.

213313301005104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232513635 (or 232513626 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 213313301005104 its reverse (401500103313312), we get a palindrome (614813404318416).

The spelling of 213313301005104 in words is "two hundred thirteen trillion, three hundred thirteen billion, three hundred one million, five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 277 368 414 552 554 828 831 1104 1108 1656 1662 2216 2493 3312 3324 4432 4986 6371 6648 9972 12742 13296 19113 19944 25484 38226 39888 50968 57339 76452 101936 114678 152904 229356 305808 458712 917424 232513321 465026642 697539963 930053284 1395079926 1860106568 2092619889 2790159852 3720213136 4185239778 5347806383 5580319704 8370479556 10695612766 11160639408 16043419149 16740959112 21391225532 32086838298 33481918224 42782451064 48130257447 64173676596 64406189917 85564902128 96260514894 128347353192 128812379834 192521029788 193218569751 256694706384 257624759668 385042059576 386437139502 515249519336 579655709253 770084119152 772874279004 1030499038672 1159311418506 1481342368091 1545748558008 2318622837012 2962684736182 3091497116016 4444027104273 4637245674024 5925369472364 8888054208546 9274491348048 11850738944728 13332081312819 17776108417092 23701477889456 26664162625638 35552216834184 53328325251276 71104433668368 106656650502552 213313301005104