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22123121421141 = 32131919135202259
BaseRepresentation
bin1010000011110111100001…
…10010110010101101010101
32220022221122100222120221200
411001323300302302231111
510344431123040434031
6115015115514303113
74442225400235356
oct501736062625525
986287570876850
1022123121421141
11705a3aa325934
122593738727a99
13c4628061a710
14566a9c825d2d
15285716d948e6
hex141ef0cb2b55

22123121421141 has 48 divisors (see below), whose sum is σ = 36243937329600. Its totient is φ = 12890945615616.

The previous prime is 22123121421119. The next prime is 22123121421143. The reversal of 22123121421141 is 14112412132122.

22123121421141 is a `hidden beast` number, since 2 + 2 + 1 + 231 + 2 + 1 + 421 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 22123121421141 - 238 = 21848243514197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123121421143) 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 47 ways as a sum of consecutive naturals, for example, 1651470 + ... + 6853728.

It is an arithmetic number, because the mean of its divisors is an integer number (755082027700).

Almost surely, 222123121421141 is an apocalyptic number.

It is an amenable number.

22123121421141 is a deficient number, since it is larger than the sum of its proper divisors (14120815908459).

22123121421141 is a wasteful number, since it uses less digits than its factorization.

22123121421141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204210 (or 5204207 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 22123121421141 its reverse (14112412132122), we get a palindrome (36235533553263).

The spelling of 22123121421141 in words is "twenty-two trillion, one hundred twenty-three billion, one hundred twenty-one million, four hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 1913 2223 5739 17217 24869 36347 74607 109041 223821 327123 472511 1417533 4252599 5202259 15606777 46820331 67629367 98842921 202888101 296528763 608664303 889586289 1284957973 3854873919 9951921467 11564621757 29855764401 89567293203 129374979071 189086507873 388124937213 567259523619 1164374811639 1701778570857 2458124602349 7374373807047 22123121421141