Search a number
-
+
21021122021121 = 32471096017431021
BaseRepresentation
bin1001100011110010111001…
…00000101100011100000001
32202102121012010200210000100
410301321130200230130001
510223402224214133441
6112412545314513013
74266504000005265
oct461713440543401
982377163623010
1021021122021121
11677500a3a8032
12243604b295769
13b9638b548211
145295db9bc0a5
15266c1aaedcb6
hex131e5c82c701

21021122021121 has 96 divisors (see below), whose sum is σ = 31419379031040. Its totient is φ = 13535932032000.

The previous prime is 21021122021113. The next prime is 21021122021149. The reversal of 21021122021121 is 12112022112012.

21021122021121 is a `hidden beast` number, since 2 + 1 + 0 + 211 + 220 + 211 + 21 = 666.

It is not a de Polignac number, because 21021122021121 - 23 = 21021122021113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21021122021094 and 21021122021103.

It is not an unprimeable number, because it can be changed into a prime (21021122021021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20588757591 + ... + 20588758611.

It is an arithmetic number, because the mean of its divisors is an integer number (327285198240).

Almost surely, 221021122021121 is an apocalyptic number.

It is an amenable number.

21021122021121 is a deficient number, since it is larger than the sum of its proper divisors (10398257009919).

21021122021121 is a wasteful number, since it uses less digits than its factorization.

21021122021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21021122021121 its reverse (12112022112012), we get a palindrome (33133144133133).

The spelling of 21021122021121 in words is "twenty-one trillion, twenty-one billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 47 109 141 327 423 601 743 981 1021 1803 2229 3063 5123 5409 6687 9189 15369 28247 34921 46107 47987 65509 80987 84741 104763 111289 143961 196527 242961 254223 314289 333867 431883 446543 589581 613621 728883 758603 1001601 1339629 1840863 2275809 3078923 3806389 4018887 5230583 5522589 6827427 9236769 11419167 15691749 20987521 27710307 28840187 34257501 35654341 47075247 48673187 62962563 66884689 82687727 86520561 106963023 146019561 188887689 200654067 248063181 259561683 320889069 438058683 455920403 601962201 744189543 1367761209 2287639789 3143580383 3886323169 4103283627 6862919367 9430741149 11658969507 20588758101 21428258941 28292223447 34976908521 49695323927 64284776823 149085971781 192854330469 447257915343 2335680224569 7007040673707 21021122021121