Search a number
-
+
2000111322 = 2311713491223
BaseRepresentation
bin111011100110111…
…0100011011011010
312011101120011221010
41313031310123122
513044012030242
6530245154350
7100364444226
oct16715643332
95141504833
102000111322
11937013270
124799bb9b6
1325b4b5c31
1414d8c7786
15ba8d589c
hex773746da

2000111322 has 64 divisors (see below), whose sum is σ = 4441651200. Its totient is φ = 595358400.

The previous prime is 2000111293. The next prime is 2000111339. The reversal of 2000111322 is 2231110002.

It is a junction number, because it is equal to n+sod(n) for n = 2000111298 and 2000111307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1634803 + ... + 1636025.

It is an arithmetic number, because the mean of its divisors is an integer number (69400800).

Almost surely, 22000111322 is an apocalyptic number.

2000111322 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 2000111322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220825600).

2000111322 is an abundant number, since it is smaller than the sum of its proper divisors (2441539878).

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

2000111322 is a wasteful number, since it uses less digits than its factorization.

2000111322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2000111322 is about 44722.6041504741. The cubic root of 2000111322 is about 1259.9444256164.

Adding to 2000111322 its reverse (2231110002), we get a palindrome (4231221324).

The spelling of 2000111322 in words is "two billion, one hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 349 426 698 781 1047 1223 1562 2094 2343 2446 3669 3839 4686 7338 7678 11517 13453 23034 24779 26906 40359 49558 74337 80718 86833 148674 173666 260499 272569 426827 520998 545138 817707 853654 955163 1280481 1635414 1910326 2560962 2865489 4695097 5730978 9390194 14085291 28170582 30304717 60609434 90914151 181828302 333351887 666703774 1000055661 2000111322