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21324420121221 = 34753977315543
BaseRepresentation
bin1001101100100111110100…
…11111001000001010000101
32210111121001111120122120000
410312103322133020022011
510243334403022334341
6113204145305431513
74330432003221060
oct466237237101205
983447044518500
1021324420121221
1168816aa260798
12248499519b599
13bb8b65742439
1453a170b638d7
1526ea6cad78b6
hex1364fa7c8285

21324420121221 has 80 divisors (see below), whose sum is σ = 37475015364864. Its totient is φ = 11832216155136.

The previous prime is 21324420121211. The next prime is 21324420121259. The reversal of 21324420121221 is 12212102442312.

21324420121221 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 4 + 420 + 1 + 212 + 21 = 666.

It is not a de Polignac number, because 21324420121221 - 25 = 21324420121189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21324420121211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 742825 + ... + 6572718.

Almost surely, 221324420121221 is an apocalyptic number.

21324420121221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21324420121221 is a deficient number, since it is larger than the sum of its proper divisors (16150595243643).

21324420121221 is an equidigital number, since it uses as much as digits as its factorization.

21324420121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315712 (or 7315703 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21324420121221 its reverse (12212102442312), we get a palindrome (33536522563533).

The spelling of 21324420121221 in words is "twenty-one trillion, three hundred twenty-four billion, four hundred twenty million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 53 63 81 97 159 189 291 371 477 567 679 873 1113 1431 2037 2619 3339 4293 5141 6111 7857 10017 15423 18333 30051 35987 46269 54999 107961 138807 323883 416421 971649 2914947 7315543 21946629 51208801 65839887 153626403 197519661 387723779 460879209 592558983 709607671 1163171337 1382637627 2128823013 2714066453 3489514011 4147912881 4967253697 6386469039 8142199359 10468542033 14901761091 19159407117 24426598077 31405626099 37609206563 44705283273 57478221351 73279794231 112827619689 134115849819 219839382693 263264445941 338482859067 402347549457 789793337823 1015448577201 2369380013469 3046345731603 7108140040407 21324420121221