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10010122221 = 3111013003337
BaseRepresentation
bin10010101001010011…
…00101011111101101
3221211121210220012110
421110221211133231
5131000042402341
64333143354233
7503026430541
oct112451453755
927747726173
1010010122221
1142774a8a90
121b34452979
13c36b22858
146ad639a21
153d8c0c216
hex254a657ed

10010122221 has 16 divisors (see below), whose sum is σ = 14704342848. Its totient is φ = 6006672000.

The previous prime is 10010122217. The next prime is 10010122229. The reversal of 10010122221 is 12222101001.

It is not a de Polignac number, because 10010122221 - 22 = 10010122217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010122197 and 10010122206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010122229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498336 + ... + 1505001.

It is an arithmetic number, because the mean of its divisors is an integer number (919021428).

Almost surely, 210010122221 is an apocalyptic number.

10010122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010122221 is a deficient number, since it is larger than the sum of its proper divisors (4694220627).

10010122221 is a wasteful number, since it uses less digits than its factorization.

10010122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003452.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010122221 its reverse (12222101001), we get a palindrome (22232223222).

It can be divided in two parts, 10010 and 122221, that added together give a palindrome (132231).

The spelling of 10010122221 in words is "ten billion, ten million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 3333 3003337 9010011 33036707 99110121 303337037 910011111 3336707407 10010122221