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133094638131 = 37132383255383
BaseRepresentation
bin111101111110100001…
…1110000001000110011
3110201112121001011001220
41323331003300020303
54140034211410011
6141050504000123
712421131520650
oct1737503601063
9421477034056
10133094638131
11514994a9604
1221965160043
13c721073160
1466284a8c27
1536de89d506
hex1efd0f0233

133094638131 has 64 divisors (see below), whose sum is σ = 230654656512. Its totient is φ = 66342114432.

The previous prime is 133094638129. The next prime is 133094638153. The reversal of 133094638131 is 131836490331.

It is a happy number.

It is not a de Polignac number, because 133094638131 - 21 = 133094638129 is a prime.

It is a super-2 number, since 2×1330946381312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133094638231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393466 + ... + 648848.

It is an arithmetic number, because the mean of its divisors is an integer number (3603979008).

Almost surely, 2133094638131 is an apocalyptic number.

133094638131 is a deficient number, since it is larger than the sum of its proper divisors (97560018381).

133094638131 is a wasteful number, since it uses less digits than its factorization.

133094638131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255512.

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 133094638131 in words is "one hundred thirty-three billion, ninety-four million, six hundred thirty-eight thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 23 39 69 83 91 161 249 273 299 483 581 897 1079 1743 1909 2093 3237 5727 6279 7553 13363 22659 24817 40089 74451 173719 255383 521157 766149 1787681 3319979 5363043 5873809 9959937 17621427 21196789 23239853 41116663 63590367 69719559 76359517 123349989 148377523 229078551 275558257 445132569 487526147 534516619 826674771 1462578441 1603549857 1928907799 3412683029 5786723397 6337839911 10238049087 19013519733 44364879377 133094638131