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20011102222221 = 3211253346710713
BaseRepresentation
bin1001000110011001100101…
…01000111011011110001101
32121212001011010020211102100
410203030302220323132031
510110330214132102341
6110320550133145313
74133516524243455
oct443146250733615
977761133224370
1020011102222221
11641572a574a00
1222b235178b239
13b2206744c4b6
144d278493ad65
1524a8048b83b6
hex123332a3b78d

20011102222221 has 36 divisors (see below), whose sum is σ = 32370992523324. Its totient is φ = 11899111635840.

The previous prime is 20011102222217. The next prime is 20011102222249. The reversal of 20011102222221 is 12222220111002.

It is a happy number.

20011102222221 is a `hidden beast` number, since 200 + 11 + 10 + 2 + 222 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8287230350025 + 11723871872196 = 2878755^2 + 3424014^2 .

It is not a de Polignac number, because 20011102222221 - 22 = 20011102222217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20011102222194 and 20011102222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011102222121) 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 35 ways as a sum of consecutive naturals, for example, 173297640 + ... + 173413073.

It is an arithmetic number, because the mean of its divisors is an integer number (899194236759).

Almost surely, 220011102222221 is an apocalyptic number.

It is an amenable number.

20011102222221 is a deficient number, since it is larger than the sum of its proper divisors (12359890301103).

20011102222221 is a wasteful number, since it uses less digits than its factorization.

20011102222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346710794 (or 346710780 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20011102222221 its reverse (12222220111002), we get a palindrome (32233322333223).

The spelling of 20011102222221 in words is "twenty trillion, eleven billion, one hundred two million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 53 99 121 159 363 477 583 1089 1749 5247 6413 19239 57717 346710713 1040132139 3120396417 3813817843 11441453529 18375667789 34324360587 41951996273 55127003367 125855988819 165381010101 202132345679 377567966457 606397037037 1819191111111 2223455802469 6670367407407 20011102222221