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2131440224121 = 351317210921419
BaseRepresentation
bin11111000001000011101…
…111001100011101111001
321112202121201211001200000
4133001003233030131321
5234410142144132441
64311100425103213
7306664034655405
oct37010357143571
97482551731600
102131440224121
11751a3649268a
122a5107027b09
13125cbc92c210
147523b33c105
153a69c4ce2b6
hex1f043bcc779

2131440224121 has 144 divisors (see below), whose sum is σ = 3686208926400. Its totient is φ = 1223116526592.

The previous prime is 2131440224119. The next prime is 2131440224149. The reversal of 2131440224121 is 1214220441312.

2131440224121 is a `hidden beast` number, since 2 + 1 + 3 + 14 + 402 + 241 + 2 + 1 = 666.

It is not a de Polignac number, because 2131440224121 - 21 = 2131440224119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2131440224021) 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 143 ways as a sum of consecutive naturals, for example, 99500950 + ... + 99522368.

It is an arithmetic number, because the mean of its divisors is an integer number (25598673100).

Almost surely, 22131440224121 is an apocalyptic number.

It is an amenable number.

2131440224121 is a deficient number, since it is larger than the sum of its proper divisors (1554768702279).

2131440224121 is a wasteful number, since it uses less digits than its factorization.

2131440224121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21590 (or 21561 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2131440224121 its reverse (1214220441312), we get a palindrome (3345660665433).

The spelling of 2131440224121 in words is "two trillion, one hundred thirty-one billion, four hundred forty million, two hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 13 17 27 39 51 81 109 117 153 221 243 289 327 351 459 663 867 981 1053 1377 1417 1853 1989 2601 2943 3159 3757 4131 4251 5559 5967 7803 8829 11271 12753 16677 17901 21419 23409 24089 26487 31501 33813 38259 50031 53703 64257 70227 72267 94503 101439 114777 150093 192771 216801 278447 283509 304317 344331 364123 409513 450279 578313 650403 835341 850527 912951 1092369 1228539 1734939 1951209 2334671 2506023 2551581 3277107 3685617 4733599 5204817 5853627 6190091 7004013 7518069 7654743 9831321 11056851 14200797 18570273 21012039 22554207 29493963 30350723 33170553 39689407 42602391 55710819 63036117 67662621 80471183 88481889 91052169 99511659 119068221 127807173 167132457 189108351 241413549 273156507 357204663 383421519 501397371 515962291 567325053 674719919 724240647 819469521 1071613989 1150264557 1504192113 1547886873 2024159757 2172721941 2458408563 3214841967 4643660619 6072479271 6518165823 7375225689 8771358947 9644525901 13930981857 18217437813 19554497469 26314076841 41792945571 54652313439 78942230523 125378836713 163956940317 236826691569 710480074707 2131440224121