Search a number
-
+
10330313111100 = 22335218121138353
BaseRepresentation
bin1001011001010011011010…
…1001001011011000111100
31100120120100021121212122000
42112110312221023120330
52323222440124023400
633545402541222300
72114224534433103
oct226246651133074
940516307555560
1010330313111100
113323074493354
1211aa100b61990
1359c1b518a958
14279dc010303a
1512daad979600
hex96536a4b63c

10330313111100 has 144 divisors (see below), whose sum is σ = 33393526115040. Its totient is φ = 2739530419200.

The previous prime is 10330313111081. The next prime is 10330313111171. The reversal of 10330313111100 is 111131303301.

10330313111100 is a `hidden beast` number, since 1 + 0 + 330 + 313 + 1 + 11 + 10 + 0 = 666.

10330313111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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, 10080477 + ... + 11057876.

It is an arithmetic number, because the mean of its divisors is an integer number (231899486910).

Almost surely, 210330313111100 is an apocalyptic number.

10330313111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330313111100 is an abundant number, since it is smaller than the sum of its proper divisors (23063213003940).

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

10330313111100 is a wasteful number, since it uses less digits than its factorization.

10330313111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21138557 (or 21138544 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10330313111100 its reverse (111131303301), we get a palindrome (10441444414401).

The spelling of 10330313111100 in words is "ten trillion, three hundred thirty billion, three hundred thirteen million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 181 225 270 300 362 450 540 543 675 724 900 905 1086 1350 1629 1810 2172 2700 2715 3258 3620 4525 4887 5430 6516 8145 9050 9774 10860 13575 16290 18100 19548 24435 27150 32580 40725 48870 54300 81450 97740 122175 162900 244350 488700 21138353 42276706 63415059 84553412 105691765 126830118 190245177 211383530 253660236 317075295 380490354 422767060 528458825 570735531 634150590 760980708 951225885 1056917650 1141471062 1268301180 1585376475 1902451770 2113835300 2282942124 2853677655 3170752950 3804903540 3826041893 4756129425 5707355310 6341505900 7652083786 9512258850 11414710620 11478125679 14268388275 15304167572 19024517700 19130209465 22956251358 28536776550 34434377037 38260418930 45912502716 57073553100 57390628395 68868754074 76520837860 95651047325 103303131111 114781256790 137737508148 172171885185 191302094650 206606262222 229562513580 286953141975 344343770370 382604189300 413212524444 516515655555 573906283950 688687540740 860859425925 1033031311110 1147812567900 1721718851850 2066062622220 2582578277775 3443437703700 5165156555550 10330313111100