Search a number
-
+
21114344210124 = 223111032416443909
BaseRepresentation
bin1001100110100000100001…
…11111000111111011001100
32202202111210221200122111010
410303100100333013323030
510231414134104210444
6112523443521525220
74306314063356004
oct463202077077314
982674727618433
1021114344210124
1168005a7947440
1224501271a3810
13ba20c6aa78b9
1452dd227dd004
15269374cad2b9
hex133410fc7ecc

21114344210124 has 96 divisors (see below), whose sum is σ = 54492589831680. Its totient is φ = 6309874713600.

The previous prime is 21114344210093. The next prime is 21114344210129. The reversal of 21114344210124 is 42101244341112.

It is a junction number, because it is equal to n+sod(n) for n = 21114344210091 and 21114344210100.

It is not an unprimeable number, because it can be changed into a prime (21114344210129) 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 31 ways as a sum of consecutive naturals, for example, 54682 + ... + 6498590.

It is an arithmetic number, because the mean of its divisors is an integer number (567631144080).

Almost surely, 221114344210124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114344210124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27246294915840).

21114344210124 is an abundant number, since it is smaller than the sum of its proper divisors (33378245621556).

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

21114344210124 is a wasteful number, since it uses less digits than its factorization.

21114344210124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444271 (or 6444269 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 21114344210124 its reverse (42101244341112), we get a palindrome (63215588551236).

The spelling of 21114344210124 in words is "twenty-one trillion, one hundred fourteen billion, three hundred forty-four million, two hundred ten thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 241 309 412 482 618 723 964 1133 1236 1446 2266 2651 2892 3399 4532 5302 6798 7953 10604 13596 15906 24823 31812 49646 74469 99292 148938 273053 297876 546106 819159 1092212 1638318 3276636 6443909 12887818 19331727 25775636 38663454 70882999 77326908 141765998 212648997 283531996 425297994 663722627 850595988 1327445254 1552982069 1991167881 2654890508 3105964138 3982335762 4658946207 6211928276 7300948897 7964671524 9317892414 14601897794 17082802759 18635784828 21902846691 29203795588 34165605518 43805693382 51248408277 68331211036 87611386764 102496816554 159957153107 204993633108 319914306214 479871459321 639828612428 959742918642 1759528684177 1919485837284 3519057368354 5278586052531 7038114736708 10557172105062 21114344210124