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104110330032 = 24322687269069
BaseRepresentation
bin110000011110101110…
…1011001000010110000
3100221201121221202001100
41200331131121002300
53201204221030112
6115454433404400
710343644126662
oct1407535310260
9327647852040
10104110330032
1140175626975
1218216409700
139a822507a7
145078cd4532
152a950052dc
hex183d7590b0

104110330032 has 60 divisors (see below), whose sum is σ = 291473844480. Its totient is φ = 34690399104.

The previous prime is 104110330013. The next prime is 104110330039. The reversal of 104110330032 is 230033011401.

104110330032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1041103300322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104110329987 and 104110330014.

It is not an unprimeable number, because it can be changed into a prime (104110330039) 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 11 ways as a sum of consecutive naturals, for example, 252394 + ... + 521462.

It is an arithmetic number, because the mean of its divisors is an integer number (4857897408).

Almost surely, 2104110330032 is an apocalyptic number.

104110330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104110330032 is an abundant number, since it is smaller than the sum of its proper divisors (187363514448).

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

104110330032 is a wasteful number, since it uses less digits than its factorization.

104110330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271770 (or 271761 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 104110330032 its reverse (230033011401), we get a palindrome (334143341433).

The spelling of 104110330032 in words is "one hundred four billion, one hundred ten million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2687 5374 8061 10748 16122 21496 24183 32244 42992 48366 64488 96732 128976 193464 269069 386928 538138 807207 1076276 1614414 2152552 2421621 3228828 4305104 4843242 6457656 9686484 12915312 19372968 38745936 722988403 1445976806 2168965209 2891953612 4337930418 5783907224 6506895627 8675860836 11567814448 13013791254 17351721672 26027582508 34703443344 52055165016 104110330032