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133075357751 = 7181311457739
BaseRepresentation
bin111101111101111101…
…0001101000000110111
3110201111020202121100202
41323323322031000313
54140014242422001
6141044534431115
712420505606640
oct1737372150067
9421436677322
10133075357751
115148962aa06
122195a80249b
13c71a08244b
146625aca6c7
1536dcd4096b
hex1efbe8d037

133075357751 has 32 divisors (see below), whose sum is σ = 153961866240. Its totient is φ = 112669574400.

The previous prime is 133075357747. The next prime is 133075357853. The reversal of 133075357751 is 157753570331.

It is a cyclic number.

It is not a de Polignac number, because 133075357751 - 22 = 133075357747 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133075357696 and 133075357705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133075357741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 180074540 + ... + 180075278.

It is an arithmetic number, because the mean of its divisors is an integer number (4811308320).

Almost surely, 2133075357751 is an apocalyptic number.

133075357751 is a deficient number, since it is larger than the sum of its proper divisors (20886508489).

133075357751 is a wasteful number, since it uses less digits than its factorization.

133075357751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695.

The product of its (nonzero) digits is 1157625, while the sum is 47.

The spelling of 133075357751 in words is "one hundred thirty-three billion, seventy-five million, three hundred fifty-seven thousand, seven hundred fifty-one".

Divisors: 1 7 181 311 457 739 1267 2177 3199 5173 56291 82717 133759 142127 229829 337723 394037 579019 936313 994889 1608803 2364061 25724987 41599049 61127863 105031853 180074909 291193343 427895041 735222971 19010765393 133075357751