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133340004105 = 35711231267163
BaseRepresentation
bin111110000101110101…
…1101111111100001001
3110202011200202000220120
41330023223233330021
54141040020112410
6141131111013453
712430201222440
oct1741353577411
9422150660816
10133340004105
1151604a57700
1221a1336a289
13c75cb52519
14664ccd9d57
1537061b9570
hex1f0baeff09

133340004105 has 288 divisors, whose sum is σ = 282784029696. Its totient is φ = 52501996800.

The previous prime is 133340004089. The next prime is 133340004151. The reversal of 133340004105 is 501400043331.

It is a happy number.

It is not a de Polignac number, because 133340004105 - 24 = 133340004089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 818036754 + ... + 818036916.

It is an arithmetic number, because the mean of its divisors is an integer number (981888992).

Almost surely, 2133340004105 is an apocalyptic number.

133340004105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133340004105 is an abundant number, since it is smaller than the sum of its proper divisors (149444025591).

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

133340004105 is a wasteful number, since it uses less digits than its factorization.

133340004105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 133340004105 its reverse (501400043331), we get a palindrome (634740047436).

The spelling of 133340004105 in words is "one hundred thirty-three billion, three hundred forty million, four thousand, one hundred five".