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1241002001421 = 327132379293391
BaseRepresentation
bin10010000011110001011…
…110111100010000001101
311101122020120012121000200
4102003301132330100031
5130313033003021141
62350035231444113
7155442120651540
oct22036136742015
94348216177020
101241002001421
11439340305686
12180621086639
1390045128400
14440c9c04857
152243464bab6
hex120f17bc40d

1241002001421 has 144 divisors (see below), whose sum is σ = 2281428264960. Its totient is φ = 636029521920.

The previous prime is 1241002001401. The next prime is 1241002001443.

1241002001421 is a `hidden beast` number, since 1 + 2 + 41 + 0 + 0 + 200 + 1 + 421 = 666.

1241002001421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1241002001421 - 27 = 1241002001293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1241002001394 and 1241002001403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241002001401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365967636 + ... + 365971026.

It is an arithmetic number, because the mean of its divisors is an integer number (15843251840).

Almost surely, 21241002001421 is an apocalyptic number.

It is an amenable number.

1241002001421 is a deficient number, since it is larger than the sum of its proper divisors (1040426263539).

1241002001421 is a wasteful number, since it uses less digits than its factorization.

1241002001421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 1241002001421 in words is "one trillion, two hundred forty-one billion, two million, one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 169 259 273 333 481 507 777 819 929 1183 1443 1521 2331 2787 3367 3391 3549 4329 6253 6503 8361 10101 10173 10647 12077 18759 19509 23737 30303 30519 34373 36231 43771 44083 56277 58527 71211 84539 103119 108693 125467 131313 132249 157001 213633 240611 253617 308581 309357 376401 393939 396747 446849 471003 573079 721833 760851 878269 925743 1099007 1129203 1340547 1413009 1631071 1719237 2165499 2634807 2777229 3127943 3150239 3297021 4011553 4021641 4893213 5157711 5809037 7904421 9383829 9450717 9891063 11417497 12034659 14679639 17427111 21203923 22051673 28151487 28352151 34252491 36103977 40663259 40953107 52281333 63611769 66155019 102757473 116558843 121989777 122859321 148427461 190835307 198465057 286671749 349676529 365969331 368577963 445282383 532390391 815911901 860015247 1049029587 1335847149 1515264959 1597171173 2447735703 2580045741 3726732737 4545794877 4791513519 7343207109 10606854713 11180198211 13637384631 19698444467 31820564139 33540594633 59095333401 95461692417 137889111269 177286000203 413667333807 1241002001421