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104231024032 = 2561711315741
BaseRepresentation
bin110000100010010100…
…1110011010110100000
3100222001001001122002111
41201010221303112200
53201431120232112
6115514424325104
710346641041352
oct1410451632640
9328031048074
10104231024032
1140227772083
121824a913794
139aa125b565
14508ad510d2
152aa08e65a7
hex1844a735a0

104231024032 has 96 divisors (see below), whose sum is σ = 213158107008. Its totient is φ = 50144640000.

The previous prime is 104231024021. The next prime is 104231024033. The reversal of 104231024032 is 230420132401.

It is a junction number, because it is equal to n+sod(n) for n = 104231023994 and 104231024012.

It is not an unprimeable number, because it can be changed into a prime (104231024033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18152682 + ... + 18158422.

It is an arithmetic number, because the mean of its divisors is an integer number (2220396948).

Almost surely, 2104231024032 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 104231024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106579053504).

104231024032 is an abundant number, since it is smaller than the sum of its proper divisors (108927082976).

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

104231024032 is a wasteful number, since it uses less digits than its factorization.

104231024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 104231024032 its reverse (230420132401), we get a palindrome (334651156433).

The spelling of 104231024032 in words is "one hundred four billion, two hundred thirty-one million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 71 122 131 142 244 262 284 488 524 568 976 1048 1136 1952 2096 2272 4192 4331 5741 7991 8662 9301 11482 15982 17324 18602 22964 31964 34648 37204 45928 63928 69296 74408 91856 127856 138592 148816 183712 255712 297632 350201 407611 567361 700402 752071 815222 1134722 1400804 1504142 1630444 2269444 2801608 3008284 3260888 4538888 5603216 6016568 6521776 9077776 11206432 12033136 13043552 18155552 24066272 24864271 45876331 49728542 53397041 91752662 99457084 106794082 183505324 198914168 213588164 367010648 397828336 427176328 734021296 795656672 854352656 1468042592 1708705312 3257219501 6514439002 13028878004 26057756008 52115512016 104231024032