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21221011110101 = 1147103158016863
BaseRepresentation
bin1001101001100111001101…
…10101000011100011010101
32210010201010202021121012012
410310303212311003203111
510240141112321010401
6113044444203434005
74320111303144455
oct464634665034325
983121122247165
1021221011110101
1168418645a5130
122468935825905
13bac1958a346a
1453516106bd65
1526c0194658bb
hex134ce6d438d5

21221011110101 has 32 divisors (see below), whose sum is σ = 23673211600896. Its totient is φ = 18857050480000.

The previous prime is 21221011110053. The next prime is 21221011110119. The reversal of 21221011110101 is 10101111012212.

It is a de Polignac number, because none of the positive numbers 2k-21221011110101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221011110181) 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 31 ways as a sum of consecutive naturals, for example, 3092086196 + ... + 3092093058.

It is an arithmetic number, because the mean of its divisors is an integer number (739787862528).

Almost surely, 221221011110101 is an apocalyptic number.

It is an amenable number.

21221011110101 is a deficient number, since it is larger than the sum of its proper divisors (2452200490795).

21221011110101 is a wasteful number, since it uses less digits than its factorization.

21221011110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13753.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21221011110101 its reverse (10101111012212), we get a palindrome (31322122122313).

It can be divided in two parts, 212210 and 11110101, that added together give a palindrome (11322311).

The spelling of 21221011110101 in words is "twenty-one trillion, two hundred twenty-one billion, eleven million, one hundred ten thousand, one hundred one".

Divisors: 1 11 47 517 1031 5801 6863 11341 48457 63811 75493 272647 322561 533027 2999117 3548171 5980831 7075753 39812263 65789141 77833283 281099057 332560391 437934893 1871176361 3092089627 3658164301 20582939971 41046443153 451510874683 1929182828191 21221011110101