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11131121221 = 1110113176481
BaseRepresentation
bin10100101110111011…
…10110111001000101
31001201202011112201221
422113131312321011
5140244031334341
65040310320341
7542560653313
oct122735667105
931652145657
1011131121221
1147a2256140
1221a79590b1
13108514657c
147784830b3
1545233eed1
hex297776e45

11131121221 has 16 divisors (see below), whose sum is σ = 12357043776. Its totient is φ = 9942400000.

The previous prime is 11131121213. The next prime is 11131121257. The reversal of 11131121221 is 12212113111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11131121221 - 23 = 11131121213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11131121195 and 11131121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131121021) 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, 107301 + ... + 183781.

It is an arithmetic number, because the mean of its divisors is an integer number (772315236).

Almost surely, 211131121221 is an apocalyptic number.

11131121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11131121221 is a deficient number, since it is larger than the sum of its proper divisors (1225922555).

11131121221 is a wasteful number, since it uses less digits than its factorization.

11131121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76724.

The product of its digits is 24, while the sum is 16.

Adding to 11131121221 its reverse (12212113111), we get a palindrome (23343234332).

The spelling of 11131121221 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 11 101 131 1111 1441 13231 76481 145541 841291 7724581 10019011 84970391 110209121 1011920111 11131121221