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11213110332300 = 22352196073240877
BaseRepresentation
bin1010001100101100000101…
…1101010100101110001100
31110200221222221100020201210
42203023001131110232030
52432203422221113200
635503122021334420
72235056220132432
oct243130135245614
943627887306653
1011213110332300
1136334a9503888
121311213b67410
136345129355b6
142aaa08902d52
15146a2aac6650
hexa32c1754b8c

11213110332300 has 144 divisors (see below), whose sum is σ = 34207078384640. Its totient is φ = 2828118032640.

The previous prime is 11213110332257. The next prime is 11213110332313. The reversal of 11213110332300 is 323301131211.

It is a happy 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, 1839462 + ... + 5080338.

Almost surely, 211213110332300 is an apocalyptic number.

11213110332300 is a gapful number since it is divisible by the number (10) 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 11213110332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17103539192320).

11213110332300 is an abundant number, since it is smaller than the sum of its proper divisors (22993968052340).

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

11213110332300 is a wasteful number, since it uses less digits than its factorization.

11213110332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241520 (or 3241513 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11213110332300 its reverse (323301131211), we get a palindrome (11536411463511).

The spelling of 11213110332300 in words is "eleven trillion, two hundred thirteen billion, one hundred ten million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 607 950 1140 1214 1425 1821 1900 2428 2850 3035 3642 5700 6070 7284 9105 11533 12140 15175 18210 23066 30350 34599 36420 45525 46132 57665 60700 69198 91050 115330 138396 172995 182100 230660 288325 345990 576650 691980 864975 1153300 1729950 3240877 3459900 6481754 9722631 12963508 16204385 19445262 32408770 38890524 48613155 61576663 64817540 81021925 97226310 123153326 162043850 184729989 194452620 243065775 246306652 307883315 324087700 369459978 486131550 615766630 738919956 923649945 972263100 1231533260 1539416575 1847299890 1967212339 3078833150 3694599780 3934424678 4618249725 5901637017 6157666300 7868849356 9236499450 9836061695 11803274034 18472998900 19672123390 23606548068 29508185085 37377034441 39344246780 49180308475 59016370170 74754068882 98360616950 112131103323 118032740340 147540925425 149508137764 186885172205 196721233900 224262206646 295081850850 373770344410 448524413292 560655516615 590163701700 747540688820 934425861025 1121311033230 1868851722050 2242622066460 2803277583075 3737703444100 5606555166150 11213110332300