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112010033041 = 172196872
BaseRepresentation
bin110100001010001010…
…0010111011110010001
3101201010011122020100021
41220110110113132101
53313344032024131
6123242351423441
711043466400044
oct1502424273621
9351104566307
10112010033041
114355981a745
121985bb24b81
13a740a77b7a
1455c8130c5b
152da87dce11
hex1a14517791

112010033041 has 9 divisors (see below), whose sum is σ = 118992480699. Its totient is φ = 105415852704.

The previous prime is 112010033039. The next prime is 112010033053. The reversal of 112010033041 is 140330010211.

The square root of 112010033041 is 334679.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87205043025 + 24804990016 = 295305^2 + 157496^2 .

It is not a de Polignac number, because 112010033041 - 21 = 112010033039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112010033011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5679700 + ... + 5699386.

Almost surely, 2112010033041 is an apocalyptic number.

112010033041 is the 334679-th square number.

112010033041 is the 167340-th centered octagonal number.

It is an amenable number.

112010033041 is a deficient number, since it is larger than the sum of its proper divisors (6982447658).

112010033041 is an frugal number, since it uses more digits than its factorization.

112010033041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39408 (or 19704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Multiplying 112010033041 by its sum of digits (16), we get a square (1792160528656 = 13387162).

Adding to 112010033041 its reverse (140330010211), we get a palindrome (252340043252).

The spelling of 112010033041 in words is "one hundred twelve billion, ten million, thirty-three thousand, forty-one".

Divisors: 1 17 289 19687 334679 5689543 387577969 6588825473 112010033041