Search a number
-
+
100000011001100 = 22527178403362269
BaseRepresentation
bin10110101111001100010001…
…001000100001110100001100
3111010001220111201000102221212
4112233030101020201310030
5101101400010304013400
6552403212034313552
730030522331511360
oct2657142110416414
9433056451012855
10100000011001100
11299548482404a1
12b2708094288b8
1343a4c644c8382
141a9a0524772a0
15b8636a744335
hex5af311221d0c

100000011001100 has 72 divisors (see below), whose sum is σ = 262588264212960. Its totient is φ = 32268911109120.

The previous prime is 100000011001069. The next prime is 100000011001103. The reversal of 100000011001100 is 1100110000001.

It is a Harshad number since it is a multiple of its sum of digits (5).

100000011001100 is a modest number, since divided by 11001100 gives 1000000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100000011001103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4201669235 + ... + 4201693034.

It is an arithmetic number, because the mean of its divisors is an integer number (3647059225180).

Almost surely, 2100000011001100 is an apocalyptic number.

100000011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000011001100 is an abundant number, since it is smaller than the sum of its proper divisors (162588253211860).

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

100000011001100 is a wasteful number, since it uses less digits than its factorization.

100000011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403362307 (or 8403362300 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100000011001100 its reverse (1100110000001), we get a palindrome (101100121001101).

The spelling of 100000011001100 in words is "one hundred trillion, eleven million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 8403362269 16806724538 33613449076 42016811345 58823535883 84033622690 117647071766 142857158573 168067245380 210084056725 235294143532 285714317146 294117679415 420168113450 571428634292 588235358830 714285792865 840336226900 1000000110011 1176470717660 1428571585730 1470588397075 2000000220022 2857143171460 2941176794150 3571428964325 4000000440044 5000000550055 5882353588300 7142857928650 10000001100110 14285715857300 20000002200220 25000002750275 50000005500550 100000011001100