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104117134128 = 243736323927
BaseRepresentation
bin110000011110111011…
…1010110001100110000
3100221202002202102111220
41200331313112030300
53201212441243003
6115455235305040
710344056016000
oct1407567261460
9327662672456
10104117134128
1140179453997
121821874b180
139a83793797
145079b86000
152a958eb353
hex183ddd6330

104117134128 has 80 divisors (see below), whose sum is σ = 313666828800. Its totient is φ = 29747747904.

The previous prime is 104117134127. The next prime is 104117134181. The reversal of 104117134128 is 821431711401.

It is not an unprimeable number, because it can be changed into a prime (104117134127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3145500 + ... + 3178427.

It is an arithmetic number, because the mean of its divisors is an integer number (3920835360).

Almost surely, 2104117134128 is an apocalyptic number.

It is an amenable number.

104117134128 is an abundant number, since it is smaller than the sum of its proper divisors (209549694672).

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

104117134128 is an equidigital number, since it uses as much as digits as its factorization.

104117134128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323959 (or 6323939 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

Adding to 104117134128 its reverse (821431711401), we get a palindrome (925548845529).

The spelling of 104117134128 in words is "one hundred four billion, one hundred seventeen million, one hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 8232 16464 6323927 12647854 18971781 25295708 37943562 44267489 50591416 75887124 88534978 101182832 132802467 151774248 177069956 265604934 303548496 309872423 354139912 531209868 619744846 708279824 929617269 1062419736 1239489692 1859234538 2124839472 2169106961 2478979384 3718469076 4338213922 4957958768 6507320883 7436938152 8676427844 13014641766 14873876304 17352855688 26029283532 34705711376 52058567064 104117134128