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2141041123221 = 3711132924585083
BaseRepresentation
bin11111001001111111111…
…111101101111110010101
321120200101211121021021120
4133021333333231332111
5240034323011420341
64315325233434153
7310453665162030
oct37117777557625
97520354537246
102141041123221
11756012996240
122a6b4640b959
13126b8ca313c0
14758ac492017
153aa60305066
hex1f27ffedf95

2141041123221 has 64 divisors (see below), whose sum is σ = 3965082347520. Its totient is φ = 991270506240.

The previous prime is 2141041123141. The next prime is 2141041123229. The reversal of 2141041123221 is 1223211401412.

It is not a de Polignac number, because 2141041123221 - 27 = 2141041123093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2141041123191 and 2141041123200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141041123229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12205455 + ... + 12379628.

It is an arithmetic number, because the mean of its divisors is an integer number (61954411680).

Almost surely, 22141041123221 is an apocalyptic number.

2141041123221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2141041123221 is a deficient number, since it is larger than the sum of its proper divisors (1824041224299).

2141041123221 is a wasteful number, since it uses less digits than its factorization.

2141041123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24585146.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2141041123221 its reverse (1223211401412), we get a palindrome (3364252524633).

The spelling of 2141041123221 in words is "two trillion, one hundred forty-one billion, forty-one million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 29 33 39 77 87 91 143 203 231 273 319 377 429 609 957 1001 1131 2233 2639 3003 4147 6699 7917 12441 29029 87087 24585083 73755249 172095581 270435913 319606079 516286743 712967407 811307739 958818237 1893051391 2138902221 2237242553 3515666869 4990771849 5679154173 6711727659 7842641477 9268576291 10547000607 14972315547 23527924431 24609668083 27805728873 54898490339 64880034037 73829004249 101954339201 164695471017 194640102111 305863017603 713680374407 2141041123221