Search a number
-
+
104213442312 = 23327733282091
BaseRepresentation
bin110000100001110011…
…0101110111100001000
3100221222210222101111200
41201003212232330020
53201412120123222
6115512555424200
710346335433610
oct1410346567410
9327883871450
10104213442312
1140218853731
1218244a55060
139a9a713a85
145088895a40
152a9e0c1eac
hex18439aef08

104213442312 has 96 divisors (see below), whose sum is σ = 323006623680. Its totient is φ = 29734542720.

The previous prime is 104213442293. The next prime is 104213442317. The reversal of 104213442312 is 213244312401.

104213442312 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 344 + 2 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (104213442317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228387 + ... + 510477.

It is an arithmetic number, because the mean of its divisors is an integer number (3364652330).

Almost surely, 2104213442312 is an apocalyptic number.

104213442312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104213442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161503311840).

104213442312 is an abundant number, since it is smaller than the sum of its proper divisors (218793181368).

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

104213442312 is a wasteful number, since it uses less digits than its factorization.

104213442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282843 (or 282836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104213442312 its reverse (213244312401), we get a palindrome (317457754713).

The spelling of 104213442312 in words is "one hundred four billion, two hundred thirteen million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 733 1466 2199 2932 4398 5131 5864 6597 8796 10262 13194 15393 17592 20524 26388 30786 41048 46179 52776 61572 92358 123144 184716 282091 369432 564182 846273 1128364 1692546 1974637 2256728 2538819 3385092 3949274 5077638 5923911 6770184 7898548 10155276 11847822 15797096 17771733 20310552 23695644 35543466 47391288 71086932 142173864 206772703 413545406 620318109 827090812 1240636218 1447408921 1654181624 1860954327 2481272436 2894817842 3721908654 4342226763 4962544872 5789635684 7443817308 8684453526 11579271368 13026680289 14887634616 17368907052 26053360578 34737814104 52106721156 104213442312