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11131123201 = 1117331179833
BaseRepresentation
bin10100101110111011…
…10111011000000001
31001201202011122110021
422113131313120001
5140244031420301
65040310333441
7542560662142
oct122735673001
931652148407
1011131123201
1147a2257680
1221a795a281
131085147443
14778483ac9
154523408a1
hex297777601

11131123201 has 16 divisors (see below), whose sum is σ = 12896255808. Its totient is φ = 9495129600.

The previous prime is 11131123183. The next prime is 11131123243. The reversal of 11131123201 is 10232113111.

It is a happy number.

It is not a de Polignac number, because 11131123201 - 29 = 11131122689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11131123271) 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, 28020 + ... + 151813.

It is an arithmetic number, because the mean of its divisors is an integer number (806015988).

Almost surely, 211131123201 is an apocalyptic number.

11131123201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11131123201 is a deficient number, since it is larger than the sum of its proper divisors (1765132607).

11131123201 is a wasteful number, since it uses less digits than its factorization.

11131123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180192.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11131123201 its reverse (10232113111), we get a palindrome (21363236312).

The spelling of 11131123201 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 11 17 187 331 3641 5627 61897 179833 1978163 3057161 33628771 59524723 654771953 1011920291 11131123201