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21221102112111 = 3311212713510941
BaseRepresentation
bin1001101001100111011000…
…10000001100110101101111
32210010201101002111222111000
410310303230100030311233
510240141304120041421
6113044501214131343
74320113456512446
oct464635420146557
983121332458430
1021221102112111
116841900a00300
1224689601b0b53
13bac1ab6b64c5
1453516d199d5d
1526c02243e226
hex134cec40cd6f

21221102112111 has 48 divisors (see below), whose sum is σ = 34559340248160. Its totient is φ = 12860237174400.

The previous prime is 21221102112107. The next prime is 21221102112121. The reversal of 21221102112111 is 11121120112212.

It is a happy number.

21221102112111 is a `hidden beast` number, since 21 + 221 + 1 + 0 + 211 + 211 + 1 = 666.

It is not a de Polignac number, because 21221102112111 - 22 = 21221102112107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221102112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41277901 + ... + 41788841.

It is an arithmetic number, because the mean of its divisors is an integer number (719986255170).

Almost surely, 221221102112111 is an apocalyptic number.

21221102112111 is a deficient number, since it is larger than the sum of its proper divisors (13338238136049).

21221102112111 is a wasteful number, since it uses less digits than its factorization.

21221102112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523685 (or 523668 counting only the distinct ones).

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

Adding to 21221102112111 its reverse (11121120112212), we get a palindrome (32342222224323).

The spelling of 21221102112111 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred two million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 12713 38139 114417 139843 343251 419529 510941 1258587 1532823 1538273 3775761 4598469 4614819 5620351 13795407 13844457 16861053 41533371 50583159 61823861 151749477 185471583 556414749 1669244247 6495592933 19486778799 58460336397 71451522263 175381009191 214354566789 643063700367 785966744893 1929191101101 2357900234679 7073700704037 21221102112111