Search a number
-
+
110102101112300 = 2252114111321604321
BaseRepresentation
bin11001000010001100100100…
…101000000011010111101100
3112102211122202201210200120212
4121002030210220003113230
5103412403100341043200
61030100112413001552
732122420463614103
oct3102144450032754
9472748681720525
10110102101112300
113209a0477a4040
1210422636a832b8
13495877819b0cb
141d28d8205b03a
15cae01d134035
hex642324a035ec

110102101112300 has 144 divisors (see below), whose sum is σ = 269361649688544. Its totient is φ = 38714941440000.

The previous prime is 110102101112279. The next prime is 110102101112359. The reversal of 110102101112300 is 3211101201011.

It is a super-3 number, since 3×1101021011123003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5705861 + ... + 15898460.

It is an arithmetic number, because the mean of its divisors is an integer number (1870567011726).

Almost surely, 2110102101112300 is an apocalyptic number.

110102101112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102101112300 is an abundant number, since it is smaller than the sum of its proper divisors (159259548576244).

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

110102101112300 is a wasteful number, since it uses less digits than its factorization.

110102101112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21604500 (or 21604493 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 110102101112300 its reverse (3211101201011), we get a palindrome (113313202313311).

The spelling of 110102101112300 in words is "one hundred ten trillion, one hundred two billion, one hundred one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 113 164 205 220 226 275 410 451 452 550 565 820 902 1025 1100 1130 1243 1804 2050 2255 2260 2486 2825 4100 4510 4633 4972 5650 6215 9020 9266 11275 11300 12430 18532 22550 23165 24860 31075 45100 46330 50963 62150 92660 101926 115825 124300 203852 231650 254815 463300 509630 1019260 1274075 2548150 5096300 21604321 43208642 86417284 108021605 216043210 237647531 432086420 475295062 540108025 885777161 950590124 1080216050 1188237655 1771554322 2160432100 2376475310 2441288273 3543108644 4428885805 4752950620 4882576546 5941188275 8857771610 9743548771 9765153092 11882376550 12206441365 17715543220 19487097542 22144429025 23764753100 24412882730 26854171003 38974195084 44288858050 48717743855 48825765460 53708342006 61032206825 88577716100 97435487710 100092819193 107416684012 122064413650 134270855015 194870975420 200185638386 243588719275 244128827300 268541710030 400371276772 487177438550 500464095965 537083420060 671354275075 974354877100 1000928191930 1101021011123 1342708550150 2001856383860 2202042022246 2502320479825 2685417100300 4404084044492 5004640959650 5505105055615 10009281919300 11010210111230 22020420222460 27525525278075 55051050556150 110102101112300