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116210106300 = 223521673536571
BaseRepresentation
bin110110000111010101…
…0010111111110111100
3102002221212211001201010
41230032222113332330
53400444241400200
6125215225515220
711252536414431
oct1541652277674
9362855731633
10116210106300
1145314636972
121a632642b10
13ac5cc7b012
1458a5c85b88
1530523d4150
hex1b0ea97fbc

116210106300 has 144 divisors (see below), whose sum is σ = 339257786112. Its totient is φ = 30711859200.

The previous prime is 116210106263. The next prime is 116210106307. The reversal of 116210106300 is 3601012611.

116210106300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116210106307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17682015 + ... + 17688585.

It is an arithmetic number, because the mean of its divisors is an integer number (2355956848).

Almost surely, 2116210106300 is an apocalyptic number.

116210106300 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 116210106300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169628893056).

116210106300 is an abundant number, since it is smaller than the sum of its proper divisors (223047679812).

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

116210106300 is a wasteful number, since it uses less digits than its factorization.

116210106300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 116210106300 its reverse (3601012611), we get a palindrome (119811118911).

The spelling of 116210106300 in words is "one hundred sixteen billion, two hundred ten million, one hundred six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 353 501 668 706 835 1002 1059 1412 1670 1765 2004 2118 2505 3340 3530 4175 4236 5010 5295 6571 7060 8350 8825 10020 10590 12525 13142 16700 17650 19713 21180 25050 26284 26475 32855 35300 39426 50100 52950 58951 65710 78852 98565 105900 117902 131420 164275 176853 197130 235804 294755 328550 353706 394260 492825 589510 657100 707412 884265 985650 1097357 1179020 1473775 1768530 1971300 2194714 2319563 2947550 3292071 3537060 4389428 4421325 4639126 5486785 5895100 6584142 6958689 8842650 9278252 10973570 11597815 13168284 13917378 16460355 17685300 21947140 23195630 27433925 27834756 32920710 34793445 46391260 54867850 57989075 65841420 69586890 82301775 109735700 115978150 139173780 164603550 173967225 231956300 329207100 347934450 387367021 695868900 774734042 1162101063 1549468084 1936835105 2324202126 3873670210 4648404252 5810505315 7747340420 9684175525 11621010630 19368351050 23242021260 29052526575 38736702100 58105053150 116210106300