Search a number
-
+
112003320012221 = 114111315713998331
BaseRepresentation
bin11001011101110111001110…
…000110100101110110111101
3112200120102010221120201122202
4121131313032012211312331
5104140030244410342341
61034113340452121245
732406654452616551
oct3135671606456675
9480512127521582
10112003320012221
1132762383254330
121068abb1306225
134a65b386039b1
141d92dbd6d9861
15ce36e3de779b
hex65ddce1a5dbd

112003320012221 has 32 divisors (see below), whose sum is σ = 127077529815936. Its totient is φ = 97831528704000.

The previous prime is 112003320012193. The next prime is 112003320012253. The reversal of 112003320012221 is 122210023300211.

It is a cyclic number.

It is not a de Polignac number, because 112003320012221 - 210 = 112003320011197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112003320012193 and 112003320012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112003320012821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002026 + ... + 15000356.

It is an arithmetic number, because the mean of its divisors is an integer number (3971172806748).

Almost surely, 2112003320012221 is an apocalyptic number.

112003320012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112003320012221 is a deficient number, since it is larger than the sum of its proper divisors (15074209803715).

112003320012221 is a wasteful number, since it uses less digits than its factorization.

112003320012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13998653.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 112003320012221 its reverse (122210023300211), we get a palindrome (234213343312432).

The spelling of 112003320012221 in words is "one hundred twelve trillion, three billion, three hundred twenty million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 41 113 157 451 1243 1727 4633 6437 17741 50963 70807 195151 727381 8001191 13998331 153981641 573931571 1581811403 2197737967 6313247281 17399925433 24175117637 64854267523 90107256647 248344390271 713396942753 991179823117 2731788292981 10182120001111 112003320012221