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12410301012 = 22371173269313
BaseRepresentation
bin10111000111011011…
…00010101001010100
31012000220011121112020
423203231202221110
5200404014113022
65411243453140
7616352550414
oct134355425124
935026147466
1012410301012
11529932291a
1224a42271b0
13122a1719a5
1485a304644
154c97bb35c
hex2e3b62a54

12410301012 has 96 divisors (see below), whose sum is σ = 29739467520. Its totient is φ = 4026946560.

The previous prime is 12410300957. The next prime is 12410301031. The reversal of 12410301012 is 21010301421.

12410301012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12410300982 and 12410301000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39649368 + ... + 39649680.

It is an arithmetic number, because the mean of its divisors is an integer number (309786120).

Almost surely, 212410301012 is an apocalyptic number.

12410301012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12410301012 is an abundant number, since it is smaller than the sum of its proper divisors (17329166508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12410301012 is a wasteful number, since it uses less digits than its factorization.

12410301012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12410301012 its reverse (21010301421), we get a palindrome (33420602433).

The spelling of 12410301012 in words is "twelve billion, four hundred ten million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 71 142 173 213 269 284 313 346 426 519 538 626 692 807 852 939 1038 1076 1252 1614 1878 2076 3228 3756 12283 19099 22223 24566 36849 38198 44446 46537 49132 54149 57297 66669 73698 76396 84197 88892 93074 108298 114594 133338 139611 147396 162447 168394 186148 216596 229188 252591 266676 279222 324894 336788 505182 558444 649788 1010364 3304127 3844579 5977987 6608254 7689158 9912381 11533737 11955974 13216508 14566081 15378316 17933961 19824762 23067474 23911948 29132162 35867922 39649524 43698243 46134948 58264324 71735844 87396486 174792972 1034191751 2068383502 3102575253 4136767004 6205150506 12410301012