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133683707105 = 51337127439997
BaseRepresentation
bin111110010000000101…
…0110111110011100001
3110210001122110221210022
41330200022313303201
54142241012111410
6141225145443225
712441543522134
oct1744012676341
9423048427708
10133683707105
1151770a70873
1221aaa4a0515
13c7b6112490
14668280821b
15372645c455
hex1f202b7ce1

133683707105 has 64 divisors (see below), whose sum is σ = 179413893120. Its totient is φ = 94983404544.

The previous prime is 133683707099. The next prime is 133683707117. The reversal of 133683707105 is 501707386331.

It is a cyclic number.

It is not a de Polignac number, because 133683707105 - 212 = 133683703009 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 134085467 + ... + 134086463.

It is an arithmetic number, because the mean of its divisors is an integer number (2803342080).

Almost surely, 2133683707105 is an apocalyptic number.

It is an amenable number.

133683707105 is a deficient number, since it is larger than the sum of its proper divisors (45730186015).

133683707105 is a wasteful number, since it uses less digits than its factorization.

133683707105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618.

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 133683707105 in words is "one hundred thirty-three billion, six hundred eighty-three million, seven hundred seven thousand, one hundred five".

Divisors: 1 5 13 37 65 127 185 439 481 635 997 1651 2195 2405 4699 4985 5707 8255 12961 16243 23495 28535 36889 55753 61087 64805 81215 126619 184445 211159 278765 305435 437683 479557 633095 724789 1055795 1646047 2062861 2188415 2397785 3623945 4684903 5689879 8230235 10314305 16194271 23424515 26817193 28449395 55585741 60903739 80971355 134085965 210525523 277928705 304518695 722614633 1052627615 2056672417 3613073165 10283362085 26736741421 133683707105