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134211314205 = 355796132281
BaseRepresentation
bin111110011111110011…
…1100010001000011101
3110211102102021011200000
41330333213202020131
54144331044023310
6141353354124513
712460611230223
oct1747747421035
9424372234600
10134211314205
1151a118738a1
1222017120739
13c86b512327
1466d2908b13
15375792a4c0
hex1f3f9e221d

134211314205 has 96 divisors (see below), whose sum is σ = 244808578560. Its totient is φ = 70527075840.

The previous prime is 134211314147. The next prime is 134211314207. The reversal of 134211314205 is 502413112431.

134211314205 is a `hidden beast` number, since 1 + 3 + 421 + 1 + 31 + 4 + 205 = 666.

It is not a de Polignac number, because 134211314205 - 26 = 134211314141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134211314207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58837665 + ... + 58839945.

It is an arithmetic number, because the mean of its divisors is an integer number (2550089360).

Almost surely, 2134211314205 is an apocalyptic number.

134211314205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134211314205 is a deficient number, since it is larger than the sum of its proper divisors (110597264355).

134211314205 is an equidigital number, since it uses as much as digits as its factorization.

134211314205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 134211314205 its reverse (502413112431), we get a palindrome (636624426636).

The spelling of 134211314205 in words is "one hundred thirty-four billion, two hundred eleven million, three hundred fourteen thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 79 81 135 237 243 395 405 613 711 1185 1215 1839 2133 2281 3065 3555 5517 6399 6843 9195 10665 11405 16551 19197 20529 27585 31995 34215 48427 49653 61587 82755 95985 102645 145281 148959 180199 184761 242135 248265 307935 435843 540597 554283 726405 744795 900995 923805 1307529 1398253 1621791 2179215 2702985 2771415 3922587 4194759 4865373 6537645 6991265 8108955 11767761 12584277 14596119 19612935 20973795 24326865 37752831 43788357 58838805 62921385 72980595 110461987 113258493 188764155 218941785 331385961 339775479 552309935 566292465 994157883 1656929805 1698877395 2982473649 4970789415 8947420947 14912368245 26842262841 44737104735 134211314205