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11123131122 = 232617951729
BaseRepresentation
bin10100101101111110…
…11000001011110010
31001201012010121101100
422112333120023302
5140240010143442
65035423145230
7542433024465
oct122677301362
931635117340
1011123131122
114798799054
1221a5145216
1310835a97bc
147773a32dc
154517b284c
hex296fd82f2

11123131122 has 12 divisors (see below), whose sum is σ = 24100117470. Its totient is φ = 3707710368.

The previous prime is 11123131079. The next prime is 11123131139. The reversal of 11123131122 is 22113132111.

It can be written as a sum of positive squares in only one way, i.e., 9898061121 + 1225070001 = 99489^2 + 35001^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 617951729 = 11123131122 / (1 + 1 + 1 + 2 + 3 + 1 + 3 + 1 + 1 + 2 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11123131095 and 11123131104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 308975847 + ... + 308975882.

Almost surely, 211123131122 is an apocalyptic number.

11123131122 is an abundant number, since it is smaller than the sum of its proper divisors (12976986348).

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

11123131122 is a wasteful number, since it uses less digits than its factorization.

11123131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617951737 (or 617951734 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11123131122 its reverse (22113132111), we get a palindrome (33236263233).

The spelling of 11123131122 in words is "eleven billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 617951729 1235903458 1853855187 3707710374 5561565561 11123131122