Search a number
-
+
103404303232 = 276113796667
BaseRepresentation
bin110000001001101100…
…0000111001110000000
3100212220102102212100121
41200103120013032000
53143233000200412
6115300413030024
710320312034546
oct1402330071600
9325812385317
10103404303232
113a94304054a
1218059a85314
13999bbb1159
14500d22bd96
152a53042107
hex1813607380

103404303232 has 64 divisors (see below), whose sum is σ = 210908309040. Its totient is φ = 50482851840.

The previous prime is 103404303229. The next prime is 103404303253. The reversal of 103404303232 is 232303404301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 103404303197 and 103404303206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021363 + ... + 1118029.

Almost surely, 2103404303232 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 103404303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105454154520).

103404303232 is an abundant number, since it is smaller than the sum of its proper divisors (107504005808).

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

103404303232 is an equidigital number, since it uses as much as digits as its factorization.

103404303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96879 (or 96867 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 103404303232 its reverse (232303404301), we get a palindrome (335707707533).

The spelling of 103404303232 in words is "one hundred three billion, four hundred four million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 137 244 274 488 548 976 1096 1952 2192 3904 4384 7808 8357 8768 16714 17536 33428 66856 96667 133712 193334 267424 386668 534848 773336 1069696 1546672 3093344 5896687 6186688 11793374 12373376 13243379 23586748 26486758 47173496 52973516 94346992 105947032 188693984 211894064 377387968 423788128 754775936 807846119 847576256 1615692238 1695152512 3231384476 6462768952 12925537904 25851075808 51702151616 103404303232