Search a number
-
+
21114221020020 = 22325611922970949
BaseRepresentation
bin1001100110100000010011…
…01001001100001101110100
32202202111111100212221102200
410303100021221030031310
510231413411040120040
6112523423401304500
74306311036310122
oct463201151141564
982674440787380
1021114221020020
116800544356937
1224500b1a95130
13ba20a740494b
1452dd102d2912
15269369077630
hex133409a4c374

21114221020020 has 72 divisors (see below), whose sum is σ = 65096412599400. Its totient is φ = 5538156330240.

The previous prime is 21114221019923. The next prime is 21114221020223. The reversal of 21114221020020 is 2002012241112.

21114221020020 is a `hidden beast` number, since 2 + 1 + 11 + 422 + 10 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 520250608656 + 20593970411364 = 721284^2 + 4538058^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21114221019975 and 21114221020002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 961474495 + ... + 961496454.

Almost surely, 221114221020020 is an apocalyptic number.

21114221020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21114221020020 is an abundant number, since it is smaller than the sum of its proper divisors (43982191579380).

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

21114221020020 is a wasteful number, since it uses less digits than its factorization.

21114221020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922971025 (or 1922971020 counting only the distinct ones).

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

Adding to 21114221020020 its reverse (2002012241112), we get a palindrome (23116233261132).

The spelling of 21114221020020 in words is "twenty-one trillion, one hundred fourteen billion, two hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 1922970949 3845941898 5768912847 7691883796 9614854745 11537825694 17306738541 19229709490 23075651388 28844564235 34613477082 38459418980 57689128470 69226954164 86533692705 115378256940 117301227889 173067385410 234602455778 346134770820 351903683667 469204911556 586506139445 703807367334 1055711051001 1173012278890 1407614734668 1759518418335 2111422102002 2346024557780 3519036836670 4222844204004 5278555255005 7038073673340 10557110510010 21114221020020