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123110131131 = 321323611136637
BaseRepresentation
bin111001010100111101…
…1111000010110111011
3102202202202102122100100
41302221323320112323
54004112143144011
6132320033210443
711615532564051
oct1625173702673
9382682378310
10123110131131
1148235506729
121ba39400a23
13b7bc64b850
145d5c41a1d1
153308050d56
hex1ca9ef85bb

123110131131 has 96 divisors (see below), whose sum is σ = 204935133312. Its totient is φ = 70636769280.

The previous prime is 123110131129. The next prime is 123110131147. The reversal of 123110131131 is 131131011321.

123110131131 is a `hidden beast` number, since 12 + 311 + 0 + 1 + 311 + 31 = 666.

It is not a de Polignac number, because 123110131131 - 21 = 123110131129 is a prime.

It is a super-2 number, since 2×1231101311312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123110133131) 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 95 ways as a sum of consecutive naturals, for example, 18545745 + ... + 18552381.

It is an arithmetic number, because the mean of its divisors is an integer number (2134740972).

Almost surely, 2123110131131 is an apocalyptic number.

123110131131 is a deficient number, since it is larger than the sum of its proper divisors (81825002181).

123110131131 is a wasteful number, since it uses less digits than its factorization.

123110131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 123110131131 its reverse (131131011321), we get a palindrome (254241142452).

The spelling of 123110131131 in words is "one hundred twenty-three billion, one hundred ten million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 13 23 39 61 69 113 117 183 207 299 339 549 793 897 1017 1403 1469 2379 2599 2691 4209 4407 6637 6893 7137 7797 12627 13221 18239 19911 20679 23391 33787 54717 59733 62037 86281 89609 101361 152651 158539 164151 258843 268827 304083 404857 457953 475617 749981 776529 806481 1214571 1373859 1426851 1984463 2061007 2249943 3643713 5263141 5953389 6183021 6749829 9311711 9749753 15789423 17249563 17860167 18549063 27935133 29249259 45748841 47368269 51748689 83805399 87747777 121052243 137246523 155246067 224244319 363156729 411739569 594734933 672732957 1052223343 1089470187 1784204799 2018198871 3156670029 5352614397 9470010087 13678903459 41036710377 123110131131