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112111131033 = 32112102948697
BaseRepresentation
bin110100001101001011…
…0000001100110011001
3101201101012212112201100
41220122112001212121
53314100422143113
6123300402342013
711046134614266
oct1503226014631
9351335775640
10112111131033
11436008a1100
121988995a909
13a7589b4375
1455d772a26d
152db260cd73
hex1a1a581999

112111131033 has 18 divisors (see below), whose sum is σ = 177998298842. Its totient is φ = 67946139360.

The previous prime is 112111131019. The next prime is 112111131047. The reversal of 112111131033 is 330131111211.

It is an interprime number because it is at equal distance from previous prime (112111131019) and next prime (112111131047).

It can be written as a sum of positive squares in only one way, i.e., 112058901504 + 52229529 = 334752^2 + 7227^2 .

It is not a de Polignac number, because 112111131033 - 26 = 112111130969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112111130997 and 112111131015.

It is not an unprimeable number, because it can be changed into a prime (112111131533) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51473260 + ... + 51475437.

Almost surely, 2112111131033 is an apocalyptic number.

It is an amenable number.

112111131033 is a deficient number, since it is larger than the sum of its proper divisors (65887167809).

112111131033 is a wasteful number, since it uses less digits than its factorization.

112111131033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102948725 (or 102948711 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 112111131033 its reverse (330131111211), we get a palindrome (442242242244).

The spelling of 112111131033 in words is "one hundred twelve billion, one hundred eleven million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 102948697 308846091 926538273 1132435667 3397307001 10191921003 12456792337 37370377011 112111131033