Search a number
-
+
12110220001 = 1153127163561
BaseRepresentation
bin10110100011101001…
…10100101011100001
31011020222111220202201
423101310310223201
5144300204020001
65321404013201
7606050112565
oct132164645341
934228456681
1012110220001
1151549a3590
12241b831201
1311acc46069
1482c50d6a5
154ad293501
hex2d1d34ae1

12110220001 has 16 divisors (see below), whose sum is σ = 13566486528. Its totient is φ = 10716451200.

The previous prime is 12110219993. The next prime is 12110220007. The reversal of 12110220001 is 10002201121.

12110220001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12110220001 - 23 = 12110219993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12110220001.

It is not an unprimeable number, because it can be changed into a prime (12110220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7740 + ... + 155821.

It is an arithmetic number, because the mean of its divisors is an integer number (847905408).

Almost surely, 212110220001 is an apocalyptic number.

12110220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12110220001 is a deficient number, since it is larger than the sum of its proper divisors (1456266527).

12110220001 is a wasteful number, since it uses less digits than its factorization.

12110220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163752.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12110220001 its reverse (10002201121), we get a palindrome (22112421122).

The spelling of 12110220001 in words is "twelve billion, one hundred ten million, two hundred twenty thousand, one".

Divisors: 1 11 53 127 583 1397 6731 74041 163561 1799171 8668733 20772247 95356063 228494717 1100929091 12110220001