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104111252224 = 287167347891
BaseRepresentation
bin110000011110110000…
…0111010001100000000
3100221201200200121001121
41200331200322030000
53201204440032344
6115454505242024
710343655020410
oct1407540721400
9327650617047
10104111252224
11401760a6811
1218216793314
139a824b4475
145079094640
152a95138684
hex183d83a300

104111252224 has 72 divisors (see below), whose sum is σ = 238926659328. Its totient is φ = 44351800320.

The previous prime is 104111252213. The next prime is 104111252233. The reversal of 104111252224 is 422252111401.

It is a super-3 number, since 3×1041112522243 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125319 + ... + 473209.

It is an arithmetic number, because the mean of its divisors is an integer number (3318425824).

Almost surely, 2104111252224 is an apocalyptic number.

104111252224 is a gapful number since it is divisible by the number (14) 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 104111252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119463329664).

104111252224 is an abundant number, since it is smaller than the sum of its proper divisors (134815407104).

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

104111252224 is an equidigital number, since it uses as much as digits as its factorization.

104111252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348081 (or 348067 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 104111252224 its reverse (422252111401), we get a palindrome (526363363625).

The spelling of 104111252224 in words is "one hundred four billion, one hundred eleven million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 256 334 448 668 896 1169 1336 1792 2338 2672 4676 5344 9352 10688 18704 21376 37408 42752 74816 149632 299264 347891 695782 1391564 2435237 2783128 4870474 5566256 9740948 11132512 19481896 22265024 38963792 44530048 58097797 77927584 89060096 116195594 155855168 232391188 311710336 406684579 464782376 623420672 813369158 929564752 1626738316 1859129504 3253476632 3718259008 6506953264 7436518016 13013906528 14873036032 26027813056 52055626112 104111252224