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11131221002112 = 27329662518231
BaseRepresentation
bin1010000111111011000001…
…1110010100011110000000
31110102010121221010020221200
42201332300132110132000
52424333220034031422
635401340133021200
72226130014250521
oct241766036243600
943363557106850
1011131221002112
1136017a7079aa2
1212b937b484800
13629892264633
142a6a7ac7a848
151448368062ac
hexa1fb0794780

11131221002112 has 48 divisors (see below), whose sum is σ = 32031247939080. Its totient is φ = 3710407000320.

The previous prime is 11131221002039. The next prime is 11131221002117. The reversal of 11131221002112 is 21120012213111.

It is a happy number.

11131221002112 is a `hidden beast` number, since 111 + 312 + 210 + 0 + 21 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131221002117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4831257964 + ... + 4831260267.

Almost surely, 211131221002112 is an apocalyptic number.

11131221002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11131221002112 is an abundant number, since it is smaller than the sum of its proper divisors (20900026936968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131221002112 is an equidigital number, since it uses as much as digits as its factorization.

11131221002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9662518251 (or 9662518236 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11131221002112 its reverse (21120012213111), we get a palindrome (32251233215223).

The spelling of 11131221002112 in words is "eleven trillion, one hundred thirty-one billion, two hundred twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9662518231 19325036462 28987554693 38650072924 57975109386 77300145848 86962664079 115950218772 154600291696 173925328158 231900437544 309200583392 347850656316 463800875088 618401166784 695701312632 927601750176 1236802333568 1391402625264 1855203500352 2782805250528 3710407000704 5565610501056 11131221002112