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21011112121221 = 344326172305111
BaseRepresentation
bin1001100011100000001111…
…10111111101001110000101
32202101122100112022011210000
410301300013313331032011
510223221224200334341
6112404212135551513
74266000642161535
oct461600767751605
982348315264700
1021011112121221
116770843041092
122434116b2b599
13b954547a2921
14528d2c3dd4c5
15266831e378b6
hex131c07dfd385

21011112121221 has 40 divisors (see below), whose sum is σ = 32129185841984. Its totient is φ = 13676420479680.

The previous prime is 21011112121211. The next prime is 21011112121261. The reversal of 21011112121221 is 12212121111012.

It is a happy number.

21011112121221 is a `hidden beast` number, since 210 + 1 + 1 + 112 + 121 + 221 = 666.

It is not a de Polignac number, because 21011112121221 - 25 = 21011112121189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21011112121194 and 21011112121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011112121211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7962456 + ... + 10267566.

Almost surely, 221011112121221 is an apocalyptic number.

It is an amenable number.

21011112121221 is a deficient number, since it is larger than the sum of its proper divisors (11118073720763).

21011112121221 is a wasteful number, since it uses less digits than its factorization.

21011112121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307783 (or 2307774 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21011112121221 its reverse (12212121111012), we get a palindrome (33223233232233).

The spelling of 21011112121221 in words is "twenty-one trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 43 81 129 387 1161 2617 3483 7851 23553 70659 112531 211977 337593 1012779 2305111 3038337 6915333 9115011 20745999 62237997 99119773 186713991 297359319 892077957 2676233871 6032475487 8028701613 18097426461 54292279383 162876838149 259396445941 488630514447 778189337823 2334568013469 7003704040407 21011112121221