Search a number
-
+
12011100100 = 2252172415609
BaseRepresentation
bin10110010111110101…
…01101011111000100
31011000002000002211021
423023322231133010
5144044320200400
65303503320524
7603434444356
oct131372553704
934002002737
1012011100100
115103a5330a
1223b25b0144
13119555002c
1481d2ab0d6
154a471471a
hex2cbead7c4

12011100100 has 54 divisors (see below), whose sum is σ = 27687522590. Its totient is φ = 4521815040.

The previous prime is 12011100077. The next prime is 12011100107. The reversal of 12011100100 is 100111021.

It can be written as a sum of positive squares in 9 ways, for example, as 1654374276 + 10356725824 = 40674^2 + 101768^2 .

It is a super-2 number, since 2×120111001002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12011100107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 178905 + ... + 236704.

Almost surely, 212011100100 is an apocalyptic number.

12011100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011100100 is an abundant number, since it is smaller than the sum of its proper divisors (15676422490).

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

12011100100 is a wasteful number, since it uses less digits than its factorization.

12011100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415657 (or 415633 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12011100100 its reverse (100111021), we get a palindrome (12111211121).

The spelling of 12011100100 in words is "twelve billion, eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 415609 831218 1662436 2078045 4156090 7065353 8312180 10390225 14130706 20780450 28261412 35326765 41560900 70653530 120111001 141307060 176633825 240222002 353267650 480444004 600555005 706535300 1201110010 2402220020 3002775025 6005550050 12011100100