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11131222221 = 32729101179337
BaseRepresentation
bin10100101110111100…
…01111100011001101
31001201202100200021200
422113132033203031
5140244043102341
65040312420113
7542561553630
oct122736174315
931652320250
1011131222221
1147a2315009
1221a79a7639
131085180532
147784abc17
1545235edb6
hex29778f8cd

11131222221 has 96 divisors (see below), whose sum is σ = 19361721600. Its totient is φ = 6028646400.

The previous prime is 11131222187. The next prime is 11131222229. The reversal of 11131222221 is 12222213111.

11131222221 is a `hidden beast` number, since 111 + 312 + 22 + 221 = 666.

It is not a de Polignac number, because 11131222221 - 222 = 11127027917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11131222194 and 11131222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131222229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33030165 + ... + 33030501.

It is an arithmetic number, because the mean of its divisors is an integer number (201684600).

Almost surely, 211131222221 is an apocalyptic number.

It is an amenable number.

11131222221 is a deficient number, since it is larger than the sum of its proper divisors (8230499379).

11131222221 is a wasteful number, since it uses less digits than its factorization.

11131222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 656 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11131222221 its reverse (12222213111), we get a palindrome (23353435332).

The spelling of 11131222221 in words is "eleven billion, one hundred thirty-one million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 29 63 87 101 179 203 261 303 337 537 609 707 909 1011 1253 1611 1827 2121 2359 2929 3033 3759 5191 6363 7077 8787 9773 11277 15573 18079 20503 21231 26361 29319 34037 36337 46719 54237 60323 61509 68411 87957 102111 109011 126553 162711 180969 184527 205233 238259 306333 327033 379659 422261 524291 542907 615699 714777 987073 1138977 1266783 1572873 1749367 2144331 2961219 3670037 3800349 4718619 5248101 6092623 6909511 8883657 11010111 12245569 15744303 18277869 20728533 33030333 36736707 42648361 54833607 62185599 110210121 127945083 176686067 383835249 530058201 1236802469 1590174603 3710407407 11131222221