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104242524232 = 23711317374779
BaseRepresentation
bin110000100010101010…
…1101011000001001000
3100222001211200220101211
41201011111223001020
53201442041233412
6115515515022504
710350140556550
oct1410525530110
9328054626354
10104242524232
1140233207380
121825273aa34
139aa3756c02
14508c6a6160
152aa1918ca7
hex184556b048

104242524232 has 128 divisors (see below), whose sum is σ = 254993817600. Its totient is φ = 38764915200.

The previous prime is 104242524223. The next prime is 104242524251. The reversal of 104242524232 is 232425242401.

It is a happy number.

104242524232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 104242524194 and 104242524203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356619 + ... + 1431397.

It is an arithmetic number, because the mean of its divisors is an integer number (1992139200).

Almost surely, 2104242524232 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 104242524232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127496908800).

104242524232 is an abundant number, since it is smaller than the sum of its proper divisors (150751293368).

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

104242524232 is a wasteful number, since it uses less digits than its factorization.

104242524232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74907 (or 74903 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 104242524232 its reverse (232425242401), we get a palindrome (336667766633).

The spelling of 104242524232 in words is "one hundred four billion, two hundred forty-two million, five hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 73 77 88 124 146 154 217 248 292 308 341 434 511 584 616 682 803 868 1022 1364 1606 1736 2044 2263 2387 2728 3212 4088 4526 4774 5621 6424 9052 9548 11242 15841 18104 19096 22484 24893 31682 44968 49786 63364 74779 99572 126728 149558 174251 199144 299116 348502 523453 598232 697004 822569 1046906 1394008 1645138 2093812 2318149 3290276 4187624 4636298 5458867 5757983 6580552 9272596 10917734 11515966 16227043 18545192 21835468 23031932 25499639 32454086 38212069 43670936 46063864 50999278 60047537 64908172 76424138 101998556 120095074 129816344 152848276 169224877 178497473 203997112 240190148 305696552 338449754 356994946 420332759 480380296 676899508 713989892 840665518 1184574139 1353799016 1427979784 1681331036 1861473647 2369148278 3362662072 3722947294 4738296556 7445894588 9476593112 13030315529 14891789176 26060631058 52121262116 104242524232