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134112530331 = 3513613072267
BaseRepresentation
bin111110011100110111…
…0101100111110011011
3110211011112101102200000
41330321232230332123
54144130301432311
6141335504544043
712455301461463
oct1747156547633
9424145342600
10134112530331
115197103302a
1221baa022023
13c853c06230
1466c3752ba3
15374de16056
hex1f39bacf9b

134112530331 has 96 divisors (see below), whose sum is σ = 220706373888. Its totient is φ = 80877709440.

The previous prime is 134112530281. The next prime is 134112530359. The reversal of 134112530331 is 133035211431.

134112530331 is a `hidden beast` number, since 1 + 341 + 12 + 5 + 303 + 3 + 1 = 666.

It is not a de Polignac number, because 134112530331 - 213 = 134112522139 is a prime.

It is a super-2 number, since 2×1341125303312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 134112530295 and 134112530304.

It is not an unprimeable number, because it can be changed into a prime (134112530381) 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, 59157460 + ... + 59159726.

It is an arithmetic number, because the mean of its divisors is an integer number (2299024728).

Almost surely, 2134112530331 is an apocalyptic number.

134112530331 is a deficient number, since it is larger than the sum of its proper divisors (86593843557).

134112530331 is a wasteful number, since it uses less digits than its factorization.

134112530331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 134112530331 its reverse (133035211431), we get a palindrome (267147741762).

The spelling of 134112530331 in words is "one hundred thirty-four billion, one hundred twelve million, five hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 61 81 117 183 243 307 351 549 793 921 1053 1647 2267 2379 2763 3159 3991 4941 6801 7137 8289 11973 14823 18727 20403 21411 24867 29471 35919 56181 61209 64233 74601 88413 107757 138287 168543 183627 192699 243451 265239 323271 414861 505629 550881 695969 730353 795717 969813 1244583 1516887 1797731 2087907 2191059 2387151 3733749 4550661 5393193 6263721 6573177 7161453 9047597 11201247 16179579 18791163 19719531 27142791 33603741 42454109 48538737 56373489 59158593 81428373 127362327 145616211 169120467 244285119 382086981 436848633 551903417 732855357 1146260943 1655710251 2198566071 3438782829 4967130753 10316348487 14901392259 44704176777 134112530331