Search a number
-
+
2001110111022 = 2311109409680107
BaseRepresentation
bin11101000111101011011…
…101010001001100101110
321002022012210201100000010
4131013223131101030232
5230241233142023042
64131144114314050
7264401242202241
oct35075335211456
97068183640003
102001110111022
11701736541710
122839b3888926
1311691c5452b9
146cbd60a1258
15370c06ae59c
hex1d1eb75132e

2001110111022 has 64 divisors (see below), whose sum is σ = 4416893395200. Its totient is φ = 599363815680.

The previous prime is 2001110111009. The next prime is 2001110111053. The reversal of 2001110111022 is 2201110111002.

It is a junction number, because it is equal to n+sod(n) for n = 2001110110989 and 2001110111007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2602293 + ... + 3282399.

It is an arithmetic number, because the mean of its divisors is an integer number (69013959300).

Almost surely, 22001110111022 is an apocalyptic number.

2001110111022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001110111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208446697600).

2001110111022 is an abundant number, since it is smaller than the sum of its proper divisors (2415783284178).

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

2001110111022 is a wasteful number, since it uses less digits than its factorization.

2001110111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680641.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2001110111022 its reverse (2201110111002), we get a palindrome (4202220222024).

The spelling of 2001110111022 in words is "two trillion, one billion, one hundred ten million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 409 654 818 1199 1227 2398 2454 3597 4499 7194 8998 13497 26994 44581 89162 133743 267486 490391 680107 980782 1360214 1471173 2040321 2942346 4080642 7481177 14962354 22443531 44887062 74131663 148263326 222394989 278163763 444789978 556327526 815448293 834491289 1630896586 1668982578 2446344879 3059801393 4892689758 6119602786 9179404179 18358808358 30319850167 60639700334 90959550501 181919101002 333518351837 667036703674 1000555055511 2001110111022