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104121117353 = 11172935475413
BaseRepresentation
bin110000011111000011…
…0100010101010101001
3100221202101020210110202
41200332012202222221
53201220001223403
6115455500521545
710344134615621
oct1407606425251
9327671223422
10104121117353
1140180724610
1218219b502b5
139a84559816
14507a501881
152a95e36688
hex183e1a2aa9

104121117353 has 32 divisors (see below), whose sum is σ = 124473490560. Its totient is φ = 85975464960.

The previous prime is 104121117307. The next prime is 104121117367. The reversal of 104121117353 is 353711121401.

It is not a de Polignac number, because 104121117353 - 214 = 104121100969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104121117253) 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 31 ways as a sum of consecutive naturals, for example, 19232675 + ... + 19238087.

It is an arithmetic number, because the mean of its divisors is an integer number (3889796580).

Almost surely, 2104121117353 is an apocalyptic number.

It is an amenable number.

104121117353 is a deficient number, since it is larger than the sum of its proper divisors (20352373207).

104121117353 is a wasteful number, since it uses less digits than its factorization.

104121117353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9017.

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 104121117353 its reverse (353711121401), we get a palindrome (457832238754).

The spelling of 104121117353 in words is "one hundred four billion, one hundred twenty-one million, one hundred seventeen thousand, three hundred fifty-three".

Divisors: 1 11 17 29 187 319 493 3547 5413 5423 39017 59543 60299 92021 102863 156977 663289 1012231 1131493 1726747 1748671 2668609 19199911 19235381 29354699 211199021 326398487 556797419 3590383357 6124771609 9465556123 104121117353