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11131112321 = 717831126973
BaseRepresentation
bin10100101110111011…
…10100101110000001
31001201202011002112022
422113131310232001
5140244031043241
65040310211225
7542560615340
oct122735645601
931652132468
1011131112321
1147a224a48a
1221a7953b15
1310851424c4
1477847db57
1545233c54b
hex297774b81

11131112321 has 16 divisors (see below), whose sum is σ = 13631877504. Its totient is φ = 8871523584.

The previous prime is 11131112281. The next prime is 11131112327. The reversal of 11131112321 is 12321113111.

It is a de Polignac number, because none of the positive numbers 2k-11131112321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 11131112321.

It is not an unprimeable number, because it can be changed into a prime (11131112327) 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, 553610 + ... + 573363.

It is an arithmetic number, because the mean of its divisors is an integer number (851992344).

Almost surely, 211131112321 is an apocalyptic number.

It is an amenable number.

11131112321 is a deficient number, since it is larger than the sum of its proper divisors (2500765183).

11131112321 is a wasteful number, since it uses less digits than its factorization.

11131112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127080.

The product of its digits is 36, while the sum is 17.

Adding to 11131112321 its reverse (12321113111), we get a palindrome (23452225432).

The spelling of 11131112321 in words is "eleven billion, one hundred thirty-one million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 7 17 83 119 581 1411 9877 1126973 7888811 19158541 93538759 134109787 654771313 1590158903 11131112321