Search a number
-
+
123211223000 = 2353177247719
BaseRepresentation
bin111001010111111110…
…1100000111111011000
3102210000210122122022122
41302233331200333120
54004314033114000
6132334044040412
711621201054405
oct1625775407730
9383023578278
10123211223000
1148287583528
121ba67233108
13b807585318
145d6ba132ac
153311d6e085
hex1caff60fd8

123211223000 has 64 divisors (see below), whose sum is σ = 305273966400. Its totient is φ = 46385395200.

The previous prime is 123211222991. The next prime is 123211223039. The reversal of 123211223000 is 322112321.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 123211223000.

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 15 ways as a sum of consecutive naturals, for example, 3606860 + ... + 3640859.

It is an arithmetic number, because the mean of its divisors is an integer number (4769905725).

Almost surely, 2123211223000 is an apocalyptic number.

123211223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123211223000 is an abundant number, since it is smaller than the sum of its proper divisors (182062743400).

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

123211223000 is a wasteful number, since it uses less digits than its factorization.

123211223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247757 (or 7247743 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 123211223000 its reverse (322112321), we get a palindrome (123533335321).

It can be divided in two parts, 12321 and 1223000, that added together give a palindrome (1235321).

The spelling of 123211223000 in words is "one hundred twenty-three billion, two hundred eleven million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 7247719 14495438 28990876 36238595 57981752 72477190 123211223 144954380 181192975 246422446 289908760 362385950 492844892 616056115 724771900 905964875 985689784 1232112230 1449543800 1811929750 2464224460 3080280575 3623859500 4928448920 6160561150 7247719000 12321122300 15401402875 24642244600 30802805750 61605611500 123211223000