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12410220002985 = 3257591487944879
BaseRepresentation
bin1011010010010111101011…
…0000010011111010101001
31121221101221120101102021100
42310211322300103322221
53111312112310043420
642221102032232013
72420415551343420
oct264457260237251
947841846342240
1012410220002985
113a55165726762
12148522569b609
136c038148726c
1430c92d2122b7
15167c41b83190
hexb497ac13ea9

12410220002985 has 96 divisors (see below), whose sum is σ = 25002971136000. Its totient is φ = 5576587671168.

The previous prime is 12410220002981. The next prime is 12410220002989. The reversal of 12410220002985 is 58920002201421.

12410220002985 is a `hidden beast` number, since 12 + 410 + 2 + 200 + 0 + 29 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12410220002981) and next prime (12410220002989).

It is not a de Polignac number, because 12410220002985 - 22 = 12410220002981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12410220002981) 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, 276503776 + ... + 276548654.

It is an arithmetic number, because the mean of its divisors is an integer number (260447616000).

Almost surely, 212410220002985 is an apocalyptic number.

12410220002985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12410220002985 is an abundant number, since it is smaller than the sum of its proper divisors (12592751133015).

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

12410220002985 is a wasteful number, since it uses less digits than its factorization.

12410220002985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59835 (or 59832 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12410220002985 in words is "twelve trillion, four hundred ten billion, two hundred twenty million, two thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 531 885 1239 2065 2655 3717 6195 14879 18585 44637 44879 74395 104153 133911 134637 223185 224395 312459 314153 403911 520765 669555 673185 877861 937377 942459 1562295 1570765 2019555 2633583 2647861 2827377 4389305 4686885 4712295 6145027 7900749 7943583 13167915 13239305 14136885 18435081 18535027 23830749 30725135 39503745 39717915 55305243 55605081 92175405 92675135 119153745 166815243 276526215 278025405 667754641 834076215 2003263923 3338773205 4674282487 6009791769 10016319615 14022847461 23371412435 30048958845 39397523819 42068542383 70114237305 118192571457 196987619095 210342711915 275782666733 354577714371 590962857285 827348000199 1378913333665 1772888571855 2482044000597 4136740000995 12410220002985