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11011012211221 = 1129243291418771
BaseRepresentation
bin1010000000111011001101…
…1110001011001000010101
31102222122100101001222012021
42200032303132023020111
52420401023111224341
635230220021253141
72214343101345361
oct240166336131025
942878311058167
1011011012211221
113565820378220
12129a0118641b1
1361b445a35879
142a0d15d042a1
1514164d35b9d1
hexa03b378b215

11011012211221 has 16 divisors (see below), whose sum is σ = 12426740193600. Its totient is φ = 9664434236800.

The previous prime is 11011012211191. The next prime is 11011012211233. The reversal of 11011012211221 is 12211221011011.

It is a cyclic number.

It is not a de Polignac number, because 11011012211221 - 27 = 11011012211093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011012211195 and 11011012211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011012211621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7051566 + ... + 8470336.

It is an arithmetic number, because the mean of its divisors is an integer number (776671262100).

Almost surely, 211011012211221 is an apocalyptic number.

11011012211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011012211221 is a deficient number, since it is larger than the sum of its proper divisors (1415727982379).

11011012211221 is a wasteful number, since it uses less digits than its factorization.

11011012211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443140.

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

Adding to 11011012211221 its reverse (12211221011011), we get a palindrome (23222233222232).

The spelling of 11011012211221 in words is "eleven trillion, eleven billion, twelve million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 29 319 24329 267619 705541 1418771 7760951 15606481 41144359 452587949 34517279659 379690076249 1001001110111 11011012211221