Search a number
-
+
123211104 = 2531724441
BaseRepresentation
bin1110101100000…
…00110101100000
322120211202212020
413112000311200
5223020223404
620120501440
73024164022
oct726006540
9276752766
10123211104
1163605365
123531a880
131c6ac6a3
1412514012
15ac3bed9
hex7580d60

123211104 has 72 divisors (see below), whose sum is σ = 343650888. Its totient is φ = 38645760.

The previous prime is 123211063. The next prime is 123211117. The reversal of 123211104 is 401112321.

It is a super-2 number, since 2×1232111042 = 30361952297797632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25524 + ... + 29964.

It is an arithmetic number, because the mean of its divisors is an integer number (4772929).

Almost surely, 2123211104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171825444).

123211104 is an abundant number, since it is smaller than the sum of its proper divisors (220439784).

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

123211104 is a wasteful number, since it uses less digits than its factorization.

123211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 123211104 is about 11100.0497296183. The cubic root of 123211104 is about 497.6033356889.

Adding to 123211104 its reverse (401112321), we get a palindrome (524323425).

The spelling of 123211104 in words is "one hundred twenty-three million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4441 4624 6936 8882 9248 13323 13872 17764 26646 27744 35528 53292 71056 75497 106584 142112 150994 213168 226491 301988 426336 452982 603976 905964 1207952 1283449 1811928 2415904 2566898 3623856 3850347 5133796 7247712 7700694 10267592 15401388 20535184 30802776 41070368 61605552 123211104