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123031245424113 = 321310166119877927
BaseRepresentation
bin11011111110010101110001…
…101011100000010111110001
3121010121200011000211022110200
4123332111301223200113301
5112111220442312032423
61113355435054145413
734625466645154215
oct3376256153402761
9533550130738420
10123031245424113
1136224292695544
12119703431b2269
135385a4835b7c0
142254a5b966945
15e354d1ed2d43
hex6fe571ae05f1

123031245424113 has 96 divisors (see below), whose sum is σ = 193691057693952. Its totient is φ = 74801403072000.

The previous prime is 123031245424093. The next prime is 123031245424261. The reversal of 123031245424113 is 311424542130321.

123031245424113 is a `hidden beast` number, since 1 + 2 + 30 + 31 + 2 + 4 + 542 + 41 + 13 = 666.

It is not a de Polignac number, because 123031245424113 - 26 = 123031245424049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123031245424513) 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, 15520526556 + ... + 15520534482.

It is an arithmetic number, because the mean of its divisors is an integer number (2017615184312).

Almost surely, 2123031245424113 is an apocalyptic number.

123031245424113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123031245424113 is a deficient number, since it is larger than the sum of its proper divisors (70659812269839).

123031245424113 is a wasteful number, since it uses less digits than its factorization.

123031245424113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695 (or 10692 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 123031245424113 its reverse (311424542130321), we get a palindrome (434455787554434).

The spelling of 123031245424113 in words is "one hundred twenty-three trillion, thirty-one billion, two hundred forty-five million, four hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 101 117 303 661 909 1313 1983 1987 3939 5949 5961 7927 8593 11817 17883 23781 25779 25831 66761 71343 77337 77493 103051 200283 200687 232479 309153 600849 602061 800627 867893 927459 1313407 1806183 2401881 2603679 2608931 3940221 5239747 7205643 7811037 7826793 10408151 11820663 15719241 15750949 17074291 23480379 31224453 47157723 47252847 51222873 68116711 93673359 132654107 141758541 153668619 204350133 204762337 397962321 529214447 613050399 614287011 1193886963 1587643341 1590845849 1724503391 1842861033 4762930023 4772537547 5173510173 6879787811 10411377289 14317612641 15520530519 20639363433 20680996037 31234131867 61918090299 62042988111 93702395601 135347904757 186128964333 406043714271 1051549106189 1218131142813 3154647318567 9463941955701 13670138380457 41010415141371 123031245424113