Search a number
-
+
21113301331221 = 3113122272932871
BaseRepresentation
bin1001100110011110100101…
…10100110110110100010101
32202202102010021022220120120
410303033102310312310111
510231410020120044341
6112523152225222153
74306246201136511
oct463172264666425
982672107286516
1021113301331221
1168001121a7050
12244ba95a91959
13ba1c8ba066a8
1452dc640cd141
1526931345c066
hex1333d2d36d15

21113301331221 has 48 divisors (see below), whose sum is σ = 31872669709824. Its totient is φ = 12328612332000.

The previous prime is 21113301331219. The next prime is 21113301331247. The reversal of 21113301331221 is 12213310331112.

It is not a de Polignac number, because 21113301331221 - 21 = 21113301331219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21113301331191 and 21113301331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113301338221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5732416 + ... + 8665286.

It is an arithmetic number, because the mean of its divisors is an integer number (664013952288).

Almost surely, 221113301331221 is an apocalyptic number.

It is an amenable number.

21113301331221 is a deficient number, since it is larger than the sum of its proper divisors (10759368378603).

21113301331221 is a wasteful number, since it uses less digits than its factorization.

21113301331221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933174 (or 2933143 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 21113301331221 its reverse (12213310331112), we get a palindrome (33326611662333).

The spelling of 21113301331221 in words is "twenty-one trillion, one hundred thirteen billion, three hundred one million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 11 31 33 93 227 341 681 961 1023 2497 2883 7037 7491 10571 21111 31713 77407 218147 232221 654441 2399617 2932871 7198851 8798613 32261581 90919001 96784743 272757003 665761717 1000109011 1997285151 2818489031 3000327033 7323378887 8455467093 20638613227 21970136661 31003379341 61915839681 93010138023 227024745497 639797010037 681074236491 1919391030111 7037767110407 21113301331221